IN PYTHON:

6. Stiff Problem Consider the initial value problem y = -500(y - cost) - sint, to= 0, yo = 2. Recall from class that the problem is stiff. Solve it with the explicit RK45 and implicit Radau in the module scipy.integrate up to time T = 1 and the default tolerances. 1. Plot the solution. 2. Print the number of steps of each method. 3. Print the difference between the methods at the final time T