Problem 2: (20points): According to Wikipedia: The Van der Pol oscillator is a non- conservative oscillator...

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Problem 2: (20points): According to Wikipedia: "The Van der Pol oscillator is a non- conservative oscillator with non-linear damping. It evolves in time according to the following second-order ordinary differential equation": d'x (1-x²)+x 0; dx x= x(t) dr dt The initial conditions are: @time t= 0: x(0) = 2 and x'(0) = 0 Here, u is a scalar parameter indicating the nonlinearity and the strength of the damping. Solve the above equation withu =2 using the Explicit Euler method. Write down the result for x(0.2) & x'(0.2) using an integration step: h= A = 0.1. Problem 2: (20points): According to Wikipedia: "The Van der Pol oscillator is a non- conservative oscillator with non-linear damping. It evolves in time according to the following second-order ordinary differential equation": d'x (1-x²)+x 0; dx x= x(t) dr dt The initial conditions are: @time t= 0: x(0) = 2 and x'(0) = 0 Here, u is a scalar parameter indicating the nonlinearity and the strength of the damping. Solve the above equation withu =2 using the Explicit Euler method. Write down the result for x(0.2) & x'(0.2) using an integration step: h= A = 0.1.