Chapter 9.4, Problem 1E

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

$y^{″}-4y^{\prime }+4y=0,y\left(0\right)=-2,y^{\prime }\left(0\right)=1.$

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