Solving second order symbolic ODE

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.

1. Using 'dsolve' :- Its taking more than 8-9 hours and still without result.
2. 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.
3. 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

Answer 1

[Torsten]

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

Best wishes

Torsten.

[Karthik R]

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]

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

Best wishes

Torsten.