An initial-value problem of the well-know Van der Pol SDOF oscillator is specified as follows: x-μ(1-x2)x+x=f(t)
x(0)=x0 x(0)=v0
Note that this is a nonlinear system for which a closed-form solution is generally not available and a numerical solution becomes necessary.
1: Reformulate the problerm in the state-space. Wihat is the corresponding IVP in the state-space?
2: Calculate x(t) and v(t)() for the following data: and compare the results with the exact solution in this special case.
μ=0 f(t)=0 x0=2 v0=0