Given the initial conditions, y(0) = 1 and y’(0) = 0, solve the following initial-value pr...

Given the initial conditions, y(0) = 1 and y’(0) = 0, solve the following initial-value problem from t = 0 to 4:

Obtain your solutions with (a) Euler’s method and (b) the fourth-order RK method. In both cases, use a step size of 0.1. Plot both solutions on the same graph along with the exact solution y = cos3t.