I have an equation that relies on previous values to get the next.

P = [1 2 3 4 5];
P2P1 = @(M1,M2) (1+M2.^2)./(1+M1.^2) - P(2)./P(1);
P3P2 = @(M2,M3) (1+M3.^2)./(1+M2.^2) - P(3)./P(2);
Pfcn = @(M1,M2,M3) [P2P1(M1,M2); P3P2(M2,M3)]
Pfcn = function_handle with value:
    @(M1,M2,M3)[P2P1(M1,M2);P3P2(M2,M3)]
format long
Pv = fsolve(@(b)Pfcn(b(1),b(2),b(3)), [0; 1; 1])
Warning: Trust-region-dogleg algorithm of FSOLVE cannot handle non-square systems; using Levenberg-Marquardt algorithm instead.
Equation solved.

fsolve completed because the vector of function values is near zero
as measured by the value of the function tolerance, and
the problem appears regular as measured by the gradient.
Pv = 3×1
  -0.000000009907974
   1.000000000005345
   1.414213562389785

Make appropriate changes to get the result you want.

.

5 Comments
Show 3 older commentsHide 3 older comments

joshua payne on 28 Sep 2022

Open in MATLAB Online

im solving for mach number based off of pressure vaules recorded at a time t

t=[0.00
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00];%time t (s)
Po=[101034.72
100857.57
100680.46
100503.40
100326.37
100149.39
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100003.56
100458.80
100913.63
101367.87
101821.32
102273.80
102725.13
103175.11
103623.56
104070.30
104515.14
104957.90
105398.40
105836.45
106271.88
106704.50
107134.13
107560.60
107983.72
108403.32
108819.22
109231.24
109639.20
110042.94
110442.28
110837.04
111227.06
111612.15
111992.15
112366.89
112736.20
113099.91
113457.85
113809.86
114155.78
114495.43
114828.65
115155.30
115475.19
115788.18
116094.11
116392.81
116684.15
116967.95
117244.07
117512.36
117772.68
118024.86
118268.77
118504.27
118731.20
118949.44
119158.83
119359.26
119550.57
119732.64
119905.33
120068.53
120222.10
120365.91
120499.85
120623.80
120737.63
120841.24
120934.51
121017.33
121089.59
121151.19
121202.02
121241.99
121271.00
121288.95
121295.75
121291.32
121275.56
121248.40
121209.75
121159.53
121097.68
121024.12
120938.78
120841.60
120732.51
120611.46
120478.39
120333.24
120175.98
120006.55
119824.92
119631.03
119424.86
119206.37
118975.54
118732.34
118476.75
118208.74
117928.31
117635.44
117330.13
117012.36
116682.14
116339.48
115984.37
115616.83
115236.87
114844.51
114439.77
114022.67
113593.24
113151.52
112697.53
112231.32
111752.92
111262.39
110759.77
110245.12
109718.49
109179.95
108629.55
108067.37
107493.47
106907.93
106310.82
105702.24
105082.25
104450.96
103808.45
103154.82
102490.15
101814.57
101128.17
100431.05
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100431.05
101128.17
101814.57
102490.15
103154.82
103808.45
104450.96
105082.25
105702.24
106310.82
106907.93
107493.47
108067.37
108629.55
109179.95
109718.49
110245.12
110759.77
111262.39
111752.92
112231.32
112697.53
113151.52
113593.24
114022.67
114439.77
114844.51
115236.87
115616.83
115984.37
116339.48
116682.14
117012.36
117330.13
117635.44
117928.31
118208.74
118476.75
118732.34
118975.54
119206.37
119424.86
119631.03
119824.92
120006.55
120175.98
120333.24
120478.39
120611.46
120732.51
120841.60
120938.78
121024.12
121097.68
121159.53
121209.75
121248.40
121275.56
121291.32
121295.75
121288.95
121271.00
121241.99
121202.02
121151.19
121089.59
121017.33
120934.51
120841.24
120737.63
120623.80
120499.85
120365.91
120222.10
120068.53
119905.33
119732.64
119550.57
119359.26
119158.83
118949.44
118731.20
118504.27
118268.77
118024.86
117772.68
117512.36
117244.07
116967.95
116684.15
116392.81
116094.11
115788.18
115475.19
115155.30
114828.65
114495.43
114155.78
113809.86
113457.85
113099.91
112736.20
112366.89
111992.15
111612.15
111227.06
110837.04
110442.28
110042.94
109639.20
109231.24
108819.22
108403.32
107983.72
107560.60
107134.13
106704.50
106271.88
105836.45
105398.40
104957.90
104515.14
104070.30
103623.56
103175.11
102725.13
102273.80
101821.32
101367.87
100913.63
100458.80
100003.56
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100149.39
100326.37
100503.40
100680.46
100857.57
101034.72]; %pressure (pa)
gamma=1.4

Every value of Po has a corresponding value of t

at t = 0, M1=0

M=((((Po2./(Po1.*(1+((2*gamma)./(gamma-1)).*((M1.^2)-1)))).^((gamma-1)/gamma)).*(1+((gamma-1)/2).*(M1.^2))-1).*(2/(gamma-1))).^(1/2)

M is the mach number at the next value of t. i want to solve for all values of mach number with respect to the previous mach number and the pressure values

Star Strider on 28 Sep 2022

Open in MATLAB Online

So you are solving for parameter ‘M1’ as a function of ‘Po’. Is ‘t’ involved in this as a variable, or is it just there for reference?

M=((((Po2./(Po1.*(1+((2*gamma)./(gamma-1)).*((M1.^2)-1)))).^((gamma-1)/gamma)).*(1+((gamma-1)/2).*(M1.^2))-1).*(2/(gamma-1))).^(1/2)

Assuming that ‘Po1’ is ‘Po’ at time ‘t’ and ‘Po2’ is ‘Po’ at time ‘t+1’ —

t=[0.00

1.20

2.40

3.60

4.80

6.01

7.21

8.41

9.61

10.81

12.01

13.21

14.41

15.62

16.82

18.02

19.22

20.42

21.62

22.82

24.02

25.23

26.43

27.63

28.83

30.03

31.23

32.43

33.63

34.83

36.04

37.24

38.44

39.64

40.84

42.04

43.24

44.44

45.65

46.85

48.05

49.25

50.45

51.65

52.85

54.05

55.26

56.46

57.66

58.86

60.06

61.26

62.46

63.66

64.86

66.07

67.27

68.47

69.67

70.87

72.07

73.27

74.47

75.68

76.88

78.08

79.28

80.48

81.68

82.88

84.08

85.29

86.49

87.69

88.89

90.09

91.29

92.49

93.69

94.89

96.10

97.30

98.50

99.70

100.90

102.10

103.30

104.50

105.71

106.91

108.11

109.31

110.51

111.71

112.91

114.11

115.32

116.52

117.72

118.92

120.12

121.32

122.52

123.72

124.92

126.13

127.33

128.53

129.73

130.93

132.13

133.33

134.53

135.74

136.94

138.14

139.34

140.54

141.74

142.94

144.14

145.35

146.55

147.75

148.95

150.15

151.35

152.55

153.75

154.95

156.16

157.36

158.56

159.76

160.96

162.16

163.36

164.56

165.77

166.97

168.17

169.37

170.57

171.77

172.97

174.17

175.38

176.58

177.78

178.98

180.18

181.38

182.58

183.78

184.98

186.19

187.39

188.59

189.79

190.99

192.19

193.39

194.59

195.80

197.00

198.20

199.40

200.60

201.80

203.00

204.20

205.41

206.61

207.81

209.01

210.21

211.41

212.61

213.81

215.02

216.22

217.42

218.62

219.82

221.02

222.22

223.42

224.62

225.83

227.03

228.23

229.43

230.63

231.83

233.03

234.23

235.44

236.64

237.84

239.04

240.24

241.44

242.64

243.84

245.05

246.25

247.45

248.65

249.85

251.05

252.25

253.45

254.65

255.86

257.06

258.26

259.46

260.66

261.86

263.06

264.26

265.47

266.67

267.87

269.07

270.27

271.47

272.67

273.87

275.08

276.28

277.48

278.68

279.88

281.08

282.28

283.48

284.68

285.89

287.09

288.29

289.49

290.69

291.89

293.09

294.29

295.50

296.70

297.90

299.10

300.30

301.50

302.70

303.90

305.11

306.31

307.51

308.71

309.91

311.11

312.31

313.51

314.71

315.92

317.12

318.32

319.52

320.72

321.92

323.12

324.32

325.53

326.73

327.93

329.13

330.33

331.53

332.73

333.93

335.14

336.34

337.54

338.74

339.94

341.14

342.34

343.54

344.74

345.95

347.15

348.35

349.55

350.75

351.95

353.15

354.35

355.56

356.76

357.96

359.16

360.36

361.56

362.76

363.96

365.17

366.37

367.57

368.77

369.97

371.17

372.37

373.57

374.77

375.98

377.18

378.38

379.58

380.78

381.98

383.18

384.38

385.59

386.79

387.99

389.19

390.39

391.59

392.79

393.99

395.20

396.40

397.60

398.80

400.00

401.20

402.40

403.60

404.80

406.01

407.21

408.41

409.61

410.81

412.01

413.21

414.41

415.62

416.82

418.02

419.22

420.42

421.62

422.82

424.02

425.23

426.43

427.63

428.83

430.03

431.23

432.43

433.63

434.83

436.04

437.24

438.44

439.64

440.84

442.04

443.24

444.44

445.65

446.85

448.05

449.25

450.45

451.65

452.85

454.05

455.26

456.46

457.66

458.86

460.06

461.26

462.46

463.66

464.86

466.07

467.27

468.47

469.67

470.87

472.07

473.27

474.47

475.68

476.88

478.08

479.28

480.48

481.68

482.88

484.08

485.29

486.49

487.69

488.89

490.09

491.29

492.49

493.69

494.89

496.10

497.30

498.50

499.70

500.90

502.10

503.30

504.50

505.71

506.91

508.11

509.31

510.51

511.71

512.91

514.11

515.32

516.52

517.72

518.92

520.12

521.32

522.52

523.72

524.92

526.13

527.33

528.53

529.73

530.93

532.13

533.33

534.53

535.74

536.94

538.14

539.34

540.54

541.74

542.94

544.14

545.35

546.55

547.75

548.95

550.15

551.35

552.55

553.75

554.95

556.16

557.36

558.56

559.76

560.96

562.16

563.36

564.56

565.77

566.97

568.17

569.37

570.57

571.77

572.97

574.17

575.38

576.58

577.78

578.98

580.18

581.38

582.58

583.78

584.98

586.19

587.39

588.59

589.79

590.99

592.19

593.39

594.59

595.80

597.00

598.20

599.40

600.60

601.80

603.00

604.20

605.41

606.61

607.81

609.01

610.21

611.41

612.61

613.81

615.02

616.22

617.42

618.62

619.82

621.02

622.22

623.42

624.62

625.83

627.03

628.23

629.43

630.63

631.83

633.03

634.23

635.44

636.64

637.84

639.04

640.24

641.44

642.64

643.84

645.05

646.25

647.45

648.65

649.85

651.05

652.25

653.45

654.65

655.86

657.06

658.26

659.46

660.66

661.86

663.06

664.26

665.47

666.67

667.87

669.07

670.27

671.47

672.67

673.87

675.08

676.28

677.48

678.68

679.88

681.08

682.28

683.48

684.68

685.89

687.09

688.29

689.49

690.69

691.89

693.09

694.29

695.50

696.70

697.90

699.10

700.30

701.50

702.70

703.90

705.11

706.31

707.51

708.71

709.91

711.11

712.31

713.51

714.71

715.92

717.12

718.32

719.52

720.72

721.92

723.12

724.32

725.53

726.73

727.93

729.13

730.33

731.53

732.73

733.93

735.14

736.34

737.54

738.74

739.94

741.14

742.34

743.54

744.74

745.95

747.15

748.35

749.55

750.75

751.95

753.15

754.35

755.56

756.76

757.96

759.16

760.36

761.56

762.76

763.96

765.17

766.37

767.57

768.77

769.97

771.17

772.37

773.57

774.77

775.98

777.18

778.38

779.58

780.78

781.98

783.18

784.38

785.59

786.79

787.99

789.19

790.39

791.59

792.79

793.99

795.20

796.40

797.60

798.80

800.00

801.20

802.40

803.60

804.80

806.01

807.21

808.41

809.61

810.81

812.01

813.21

814.41

815.62

816.82

818.02

819.22

820.42

821.62

822.82

824.02

825.23

826.43

827.63

828.83

830.03

831.23

832.43

833.63

834.83

836.04

837.24

838.44

839.64

840.84

842.04

843.24

844.44

845.65

846.85

848.05

849.25

850.45

851.65

852.85

854.05

855.26

856.46

857.66

858.86

860.06

861.26

862.46

863.66

864.86

866.07

867.27

868.47

869.67

870.87

872.07

873.27

874.47

875.68

876.88

878.08

879.28

880.48

881.68

882.88

884.08

885.29

886.49

887.69

888.89

890.09

891.29

892.49

893.69

894.89

896.10

897.30

898.50

899.70

900.90

902.10

903.30

904.50

905.71

906.91

908.11

909.31

910.51

911.71

912.91

914.11

915.32

916.52

917.72

918.92

920.12

921.32

922.52

923.72

924.92

926.13

927.33

928.53

929.73

930.93

932.13

933.33

934.53

935.74

936.94

938.14

939.34

940.54

941.74

942.94

944.14

945.35

946.55

947.75

948.95

950.15

951.35

952.55

953.75

954.95

956.16

957.36

958.56

959.76

960.96

962.16

963.36

964.56

965.77

966.97

968.17

969.37

970.57

971.77

972.97

974.17

975.38

976.58

977.78

978.98

980.18

981.38

982.58

983.78

984.98

986.19

987.39

988.59

989.79

990.99

992.19

993.39

994.59

995.80

997.00

998.20

999.40

1000.60

1001.80

1003.00

1004.20

1005.41

1006.61

1007.81

1009.01

1010.21

1011.41

1012.61

1013.81

1015.02

1016.22

1017.42

1018.62

1019.82

1021.02

1022.22

1023.42

1024.62

1025.83

1027.03

1028.23

1029.43

1030.63

1031.83

1033.03

1034.23

1035.44

1036.64

1037.84

1039.04

1040.24

1041.44

1042.64

1043.84

1045.05

1046.25

1047.45

1048.65

1049.85

1051.05

1052.25

1053.45

1054.65

1055.86

1057.06

1058.26

1059.46

1060.66

1061.86

1063.06

1064.26

1065.47

1066.67

1067.87

1069.07

1070.27

1071.47

1072.67

1073.87

1075.08

1076.28

1077.48

1078.68

1079.88

1081.08

1082.28

1083.48

1084.68

1085.89

1087.09

1088.29

1089.49

1090.69

1091.89

1093.09

1094.29

1095.50

1096.70

1097.90

1099.10

1100.30

1101.50

1102.70

1103.90

1105.11

1106.31

1107.51

1108.71

1109.91

1111.11

1112.31

1113.51

1114.71

1115.92

1117.12

1118.32

1119.52

1120.72

1121.92

1123.12

1124.32

1125.53

1126.73

1127.93

1129.13

1130.33

1131.53

1132.73

1133.93

1135.14

1136.34

1137.54

1138.74

1139.94

1141.14

1142.34

1143.54

1144.74

1145.95

1147.15

1148.35

1149.55

1150.75

1151.95

1153.15

1154.35

1155.56

1156.76

1157.96

1159.16

1160.36

1161.56

1162.76

1163.96

1165.17

1166.37

1167.57

1168.77

1169.97

1171.17

1172.37

1173.57

1174.77

1175.98

1177.18

1178.38

1179.58

1180.78

1181.98

1183.18

1184.38

1185.59

1186.79

1187.99

1189.19

1190.39

1191.59

1192.79

1193.99

1195.20

1196.40

1197.60

1198.80

1200.00];%time t (s)

Po=[101034.72

100857.57

100680.46

100503.40

100326.37

100149.39

99972.45

99795.56

99618.71

99441.91

99265.16

99088.47

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98382.22

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96972.67

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96269.60

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95743.15

95567.85

95392.63

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94168.91

93994.52

93820.25

93646.09

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93124.39

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92603.87

92430.64

92257.56

92084.63

91911.86

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91566.79

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90878.67

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90364.48

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89852.07

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89002.36

88833.11

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87655.52

87488.39

87321.55

87155.01

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86657.26

86491.99

86327.05

86162.46

85998.21

85834.33

85670.81

85507.66

85344.90

85182.53

85020.55

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84697.83

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84376.81

84216.96

84057.57

83898.63

83740.17

83582.19

83424.69

83267.71

83111.23

82955.27

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82644.97

82490.64

82336.88

82183.70

82031.11

81879.11

81727.73

81576.97

81426.85

81277.38

81128.56

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80832.97

80686.22

80540.18

80394.86

80250.29

80106.47

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79821.14

79679.67

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78578.34

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76332.79

76219.00

76106.49

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75563.88

75459.49

75356.54

75255.03

75155.00

75056.47

74959.45

74863.97

74770.06

74677.74

74587.02

74497.94

74410.52

74324.78

74240.74

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73097.85

73048.93

73002.23

72957.76

72915.55

72875.64

72838.06

72802.83

72769.98

72739.55

72711.56

72686.04

72663.02

72642.54

72624.63

72609.31

72596.62

72586.58

72579.24

72574.62

72572.75

72573.67

72577.40

72583.98

72593.45

72605.83

72621.16

72639.47

72660.80

72685.17

72712.62

72743.19

72776.91

72813.81

72853.92

72897.29

72943.94

72993.91

73047.24

73103.95

73164.08

73227.68

73294.77

73365.38

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73517.34

73598.75

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73772.61

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74061.53

74165.48

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74385.06

74500.76

74620.44

74744.15

74871.92

75003.77

75139.76

75279.91

75424.25

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75725.67

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76044.30

76210.15

76380.40

76555.09

76734.25

76917.91

77106.12

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77496.26

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77904.93

78116.30

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78553.24

78778.87

79009.33

79244.63

79484.80

79729.87

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80234.83

80494.77

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81029.69

81304.72

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81870.04

82160.36

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83062.27

83373.27

83689.49

84010.93

84337.62

84669.56

85006.77

85349.25

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86050.09

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87141.10

87515.39

87894.99

88279.89

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90695.13

91113.30

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95023.99

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96369.95

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97274.26

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98182.34

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99092.62

99548.10

100003.56

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103175.11

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105398.40

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107134.13

107560.60

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109639.20

110042.94

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111612.15

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113809.86

114155.78

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114828.65

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116094.11

116392.81

116684.15

116967.95

117244.07

117512.36

117772.68

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118268.77

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120938.78

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79898.76

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78035.74

77094.31

76146.51

75192.52

74232.53

73266.72

72295.29

71318.41

70336.29

69349.11

68357.07

67360.36

68357.07

69349.11

70336.29

71318.41

72295.29

73266.72

74232.53

75192.52

76146.51

77094.31

78035.74

78970.62

79898.76

80819.99

81734.14

82641.02

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85316.39

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88771.68

89614.45

90448.48

91273.64

92089.76

92896.70

93694.32

94482.47

95261.03

96029.84

96788.79

97537.73

98276.56

99005.13

99723.33

100431.05

101128.17

101814.57

102490.15

103154.82

103808.45

104450.96

105082.25

105702.24

106310.82

106907.93

107493.47

108067.37

108629.55

109179.95

109718.49

110245.12

110759.77

111262.39

111752.92

112231.32

112697.53

113151.52

113593.24

114022.67

114439.77

114844.51

115236.87

115616.83

115984.37

116339.48

116682.14

117012.36

117330.13

117635.44

117928.31

118208.74

118476.75

118732.34

118975.54

119206.37

119424.86

119631.03

119824.92

120006.55

120175.98

120333.24

120478.39

120611.46

120732.51

120841.60

120938.78

121024.12

121097.68

121159.53

121209.75

121248.40

121275.56

121291.32

121295.75

121288.95

121271.00

121241.99

121202.02

121151.19

121089.59

121017.33

120934.51

120841.24

120737.63

120623.80

120499.85

120365.91

120222.10

120068.53

119905.33

119732.64

119550.57

119359.26

119158.83

118949.44

118731.20

118504.27

118268.77

118024.86

117772.68

117512.36

117244.07

116967.95

116684.15

116392.81

116094.11

115788.18

115475.19

115155.30

114828.65

114495.43

114155.78

113809.86

113457.85

113099.91

112736.20

112366.89

111992.15

111612.15

111227.06

110837.04

110442.28

110042.94

109639.20

109231.24

108819.22

108403.32

107983.72

107560.60

107134.13

106704.50

106271.88

105836.45

105398.40

104957.90

104515.14

104070.30

103623.56

103175.11

102725.13

102273.80

101821.32

101367.87

100913.63

100458.80

100003.56

99548.10

99092.62

98637.30

98182.34

97727.93

97274.26

96821.53

96369.95

95919.69

95470.98

95023.99

94578.95

94136.05

93695.50

93257.50

92822.27

92390.02

91960.96

91535.32

91113.30

90695.13

90281.04

89871.26

89466.02

89065.55

88670.10

88279.89

87894.99

87515.39

87141.10

86772.12

86408.45

86050.09

85697.02

85349.25

85006.77

84669.56

84337.62

84010.93

83689.49

83373.27

83062.27

82756.46

82455.83

82160.36

81870.04

81584.83

81304.72

81029.69

80759.72

80494.77

80234.83

79979.87

79729.87

79484.80

79244.63

79009.33

78778.87

78553.24

78332.39

78116.30

77904.93

77698.26

77496.26

77298.89

77106.12

76917.91

76734.25

76555.09

76380.40

76210.15

76044.30

75882.82

75725.67

75572.83

75424.25

75279.91

75139.76

75003.77

74871.92

74744.15

74620.44

74500.76

74385.06

74273.31

74165.48

74061.53

73961.42

73865.13

73772.61

73683.82

73598.75

73517.34

73439.56

73365.38

73294.77

73227.68

73164.08

73103.95

73047.24

72993.91

72943.94

72897.29

72853.92

72813.81

72776.91

72743.19

72712.62

72685.17

72660.80

72639.47

72621.16

72605.83

72593.45

72583.98

72577.40

72573.67

72572.75

72574.62

72579.24

72586.58

72596.62

72609.31

72624.63

72642.54

72663.02

72686.04

72711.56

72739.55

72769.98

72802.83

72838.06

72875.64

72915.55

72957.76

73002.23

73048.93

73097.85

73148.95

73202.20

73257.57

73315.04

73374.58

73436.17

73499.76

73565.35

73632.89

73702.38

73773.77

73847.04

73922.17

73999.13

74077.89

74158.44

74240.74

74324.78

74410.52

74497.94

74587.02

74677.74

74770.06

74863.97

74959.45

75056.47

75155.00

75255.03

75356.54

75459.49

75563.88

75669.67

75776.85

75885.39

75995.28

76106.49

76219.00

76332.79

76447.85

76564.15

76681.66

76800.39

76920.29

77041.36

77163.58

77286.92

77411.37

77536.91

77663.52

77791.19

77919.89

78049.61

78180.33

78312.04

78444.71

78578.34

78712.90

78848.38

78984.76

79122.03

79260.17

79399.17

79539.01

79679.67

79821.14

79963.42

80106.47

80250.29

80394.86

80540.18

80686.22

80832.97

80980.42

81128.56

81277.38

81426.85

81576.97

81727.73

81879.11

82031.11

82183.70

82336.88

82490.64

82644.97

82799.85

82955.27

83111.23

83267.71

83424.69

83582.19

83740.17

83898.63

84057.57

84216.96

84376.81

84537.11

84697.83

84858.99

85020.55

85182.53

85344.90

85507.66

85670.81

85834.33

85998.21

86162.46

86327.05

86491.99

86657.26

86822.86

86988.77

87155.01

87321.55

87488.39

87655.52

87822.94

87990.63

88158.61

88326.85

88495.35

88664.10

88833.11

89002.36

89171.85

89341.57

89511.52

89681.69

89852.07

90022.67

90193.48

90364.48

90535.69

90707.08

90878.67

91050.43

91222.38

91394.50

91566.79

91739.24

91911.86

92084.63

92257.56

92430.64

92603.87

92777.24

92950.74

93124.39

93298.16

93472.07

93646.09

93820.25

93994.52

94168.91

94343.41

94518.02

94692.74

94867.56

95042.48

95217.51

95392.63

95567.85

95743.15

95918.55

96094.03

96269.60

96445.25

96620.98

96796.78

96972.67

97148.62

97324.65

97500.75

97676.91

97853.15

98029.44

98205.80

98382.22

98558.70

98735.23

98911.82

99088.47

99265.16

99441.91

99618.71

99795.56

99972.45

100149.39

100326.37

100503.40

100680.46

100857.57

101034.72]; %pressure (pa)

gamma=1.4;

M1fcn = @(M1,Po1,Po2) ((((Po2./(Po1.*(1+((2*gamma)./(gamma-1)).*((M1.^2)-1)))).^((gamma-1)/gamma)).*(1+((gamma-1)/2).*(M1.^2))-1).*(2/(gamma-1))).^(1/2);

for k = 1:numel(t)-1

M1(k) = fsolve(@(M1)M1fcn(M1,Po(k),Po(k+1)), 1E+2);

end

Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 1.000000e+02. Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit,...

figure

% yyaxis left

plot(t(1:end-1), real(M1))

ylabel('Re[M1(t)]')

% yyaxis right

% plot(t(1:end-1), imag(M1))

% grid

xlabel('t')

% ylabel('Im[M1(t)]')

Does this seem to be correct? (I have no idea. Whatever you are doing is not an area of my expertise.) The imaginary parts of ‘M1’ are vanishingly small (2.5E-12 ± 3.5E-12) so they can be safely ignored.

.

Star Strider on 28 Sep 2022

I would like to help you with this.

I need you to describe step-by-step what you want to do.

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I have an equation that relies on previous values to get the next.

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I have an equation that relies on previous values to get the next.

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