Solving second order symbolic ODE

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Karthik R
Karthik R 2015-7-10
评论： Torsten 2015-7-11
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

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回答（1 个）

Torsten
Torsten 2015-7-10
You tried to use one of the ODE solvers, e.g. ODE45 ?
Best wishes
Torsten.
  2 个评论
Karthik R
Karthik R 2015-7-11
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
Torsten 2015-7-11
dsolve won't succeed for complicated input functions u(t) and v(t).
Best wishes
Torsten.

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