Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem x²y" - 2xy' + 2y = 0 y(1) = 4 y'(1) = 9 Where x > 0. Use h = 0.1. Find the analytic solution of the problem, and compare the actual value of y(1.2) with y₂. FA

Let y'=3t and y(0)=0 Approximate y(4) using Euler's method with step sizes of 1. Solve exactly and calculate the errors.

Use variation of parameters to find a particular solution of - X 4e¯ y'' - Y e Yp(x) = 1 2x