solving ordinary differential equations
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abdallah alwohoush
on 31 Dec 2021
Hello, I'm a beginner in matlab. I'm trying to solve ODE in matlab, but I'm getting error I don't know why!
This is the equation d2y(t) / dt2 + 2 dy/dt + 5 y(t) = 5 cos1500t, I attached a photo of my code with the errors.

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Accepted Answer
Cris LaPierre
on 31 Dec 2021
I think the reason for the error is that you have defined dy as a sym variable rather than a symfun, so it is interpretting the '(0)' to be an index into variable dy rather than dy at t==0.
Try this
syms y(t)
dy(t) = diff(y(t),t)
dy2(t) = diff(y(t),t,2)
equation = dy2 + 2*dy + 5*y(t) == 5*cos(1500*t)
i1 = y(0) == 0;
i2 = dy(0) == 0;
dsolve(equation,[i1,i2])
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