Submit a MATLAB file (.m) that obtains the numerical solution, i.e. x(t), for a Van der Pol oscillator subject to a unit

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Submit A Matlab File M That Obtains The Numerical Solution I E X T For A Van Der Pol Oscillator Subject To A Unit 1 (57.41 KiB) Viewed 29 times

Submit a MATLAB file (.m) that obtains the numerical solution, i.e. x(t), for a Van der Pol oscillator subject to a unit step. The Van der Pol oscillator is a spring-mass system with a damping system that depends on position, as well as velocity. The motion of this system is a sustained oscillation that is governed by the following differential equation: d²x dx dt (1 - x2) + x = F(t) dt Unit step force means that F(t) = 1. Use u = 0.01 and all initial conditions are zero. Project requirements: - = . . . Obtain the numerical solution using the Runge-Kutta 4th order method shown in class; Obtain the solution using ODE45; In one figure plot the first 20 second of the response x(t); In a second figure produce two subplots of the responses for a time interval of 1,000 second, one calculated using your code one using ODE45. .