Solving second order symbolic ODE

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Hi,

I am trying to solve two equation in symbolic form for the past few days. The equation which represents an actuator is as shown below.

All initial conditions are zero. I have tried three methods.

Using 'dsolve' :- Its taking more than 8-9 hours and still without result.
State-space :- I wrote the equation in X_dot = A*X + B*U form and solve. I got the solution but the solution is unstable.
Laplace :- Since the real time laplace transform of u(t) and v(t) are unknown, its not possible.

I have spend quite a few days to solve it. But not possible. It would be of great help if someone can clarify how to proceed.

Thanks and Regards

Karthik R

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Answer 1

Torsten 2015-7-10

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You tried to use one of the ODE solvers, e.g. ODE45 ?

Best wishes

Torsten.

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Karthik R 2015-7-11

在 MATLAB Online 中打开

Hi Torsten,

   Thanks for replying. I have gone through some literature which says 'dsolve' is simpler than 'ode45' for solving symbolic equations. Thatsy i ve gone through that route.
     Thanks
        Karthik R

Torsten 2015-7-11

dsolve won't succeed for complicated input functions u(t) and v(t).

Best wishes

Torsten.

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Solving second order symbolic ODE

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