Assume that x (t) b cos (w0t) u (t) is a solution of the van der Pol Equation 4 19 Assume that the damping parameter is small and keep terms in u (t) to first order in Show that b 2a and u (t) (a3 4w0) sin (3w0t) is a solution Produce a phase diagram of x versus x and produce plots of x (t) and x (...

a The Van de Pol equation is Now look for solution in the form we have and dx zx a x dx dt dut dt dt ...

Assume that x (t) = b cos (w0t) = u (t) is a solution of the van

Question:

Assume that x (t) = b cos (w0t) = u (t) is a solution of the van der Pol Equation 4.19. Assume that the damping parameter is small and keep terms in u (t) to first order in μ. Show that b = 2a and u (t) – (μa3/4w0) sin (3w0t) is a solution. Produce a phase diagram of x versus x and produce plots of x (t) and x (t) for values of a = 1, w0 = 1, and μ = 0.5.