Clear Filters
Clear Filters

How can I solve this system of equations?

2 views (last 30 days)
Lorena Ortiz
Lorena Ortiz on 18 May 2015
Commented: Lorena Ortiz on 18 May 2015
I'm trying to solve a system of equations of two equations with two unknowns but Matlab has been running for an hour and it is still showing busy and I hence I have no results. Is Matlab able to solve systems like this?
syms c_d c_e V_d;
ec1='0.9259259259e-2*sqrt(1/2+(1/2)*sqrt(1+2328.331561*c_d^2))+(sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))/(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))+(.2000000000*(2.521200000*10^10*A*sech(A)^2+2.489400000*10^10*tanh(A)))*(-0.9259259259e-2*sqrt(-1/2+(1/2)*sqrt(1+2328.331561*c_d^2))+(-sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2))))/(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_d^2)))))/(3.750000000*10^10*A*sech(A)^2+3.750000000*10^10*tanh(A)+1.590000000*10^8*tanh(A)^2)=1.528755555*10^7*V_d*((2.500000000*(A*sech(A)^2+tanh(A)))/sqrt(1/2+(1/2)*sqrt(1+2328.331561*c_d^2))-tanh(A)*(-sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2))))/(sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))))/(3.750000000*10^10*A*sech(A)^2+3.750000000*10^10*tanh(A)+1.590000000*10^8*tanh(A)^2)';
ec2='-0.9259259259e-2*sqrt(-1/2+(1/2)*sqrt(1+2328.331561*c_d^2))+(-sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2))))/(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))-(.2000000000*(2.521200000*10^10*A*sech(A)^2+2.489400000*10^10*tanh(A)))*(0.9259259259e-2*sqrt(1/2+(1/2)*sqrt(1+2328.331561*c_d^2))+(sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))/(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))))/(3.750000000*10^10*A*sech(A)^2+3.750000000*10^10*tanh(A)+1.590000000*10^8*tanh(A)^2) = -1.528755555*10^7*V_d*(-2.500000000*sqrt(-1/2+(1/2)*sqrt(1+2328.331561*c_d^2))*(A*sech(A)^2+tanh(A))/(sqrt(1/2+(1/2)*sqrt(1+2328.331561*c_d^2))*(sqrt(1/2+(1/2)*sqrt(1+2328.331561*c_d^2))+1))-tanh(A)*(sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sinh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))-sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*sin(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))-tanh(A)*(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))+cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2)))))/(sqrt(1/2+(1/2)*sqrt(1+c_e^2))*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))*(cosh(2*A*sqrt(1/2+(1/2)*sqrt(1+c_e^2)))-cos(2*A*sqrt(-1/2+(1/2)*sqrt(1+c_e^2))))))/(3.750000000*10^10*A*sech(A)^2+3.750000000*10^10*tanh(A)+1.590000000*10^8*tanh(A)^2)';
[c1 c2]=solve(ec1,ec2,c_d,c_e)
Thank you!

Answers (1)

Torsten
Torsten on 18 May 2015
Maybe numerically, but not symbolically.
Try fsolve.
Best wishes
Torsten.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!