In problem repeat the indicated problem using the RK4 method. First use h = 0.2 and then use h = 0.1.

Problem 1

Use Euler’s method to approximate y(0.2), where y(x) is the solution of the initial-value problem

y'' - 4y' + 4y = 0, y (0) = -2, y'(0) = 1.

Use h = 0.1. Find the analytic solution of the problem, and compare the actual value of y(0.2) with y₂.