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ODE45 and dsolve result difference

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Muhammad Asad
Muhammad Asad on 4 Jul 2024 at 11:57
Edited: Walter Roberson on 4 Jul 2024 at 17:34
Hi, i am struggling to get similar answer using ODE45 and dsolve. I dont know whats wrong? if any one can help, please.
-----------code using dsolve-------------------
syms x y(x)
Dy = diff(y);
Eq= diff(y,x,2)==2-2*Dy-8*x;
cond1 = y(0) == 1;
cond2 = Dy(0) == -2;
conds = [cond1 cond2];
Sol = dsolve(Eq,conds)
Sol = 
fplot(Sol,[0 2])
-----------code using ODE45-------------------
[x,y]=ode45(@twofirstorder,[0 2],[1 -2]);
plot(x,y)
function dydx = twofirstorder(x,y)
dydx(1)=y(2);
dydx(2)=2-2*y(2)-8*y(1);
dydx=dydx';
end

Accepted Answer

Torsten
Torsten on 4 Jul 2024 at 12:02
dydx(2)=2-2*y(2)-8*x;
instead of
dydx(2)=2-2*y(2)-8*y(1);

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