Get solution: Use the Modified Euler method to approximate the solutions to each of the

Chapter 5, Problem 2

(choose chapter or problem)

Use the Modified Euler method to approximate the solutions to each of the following initial-value problems, and compare the results to the actual values. a. y = ety , 0 t 1, y(0) = 1, with h = 0.5; actual solution y(t) = ln(et + e 1). b. y = 1 + t 1 + y , 1 t 2, y(1) = 2, with h = 0.5; actual solution y(t) = t2 + 2t + 6 1. c. y = y + ty1/2, 2 t 3, y(2) = 2, with h = 0.25; actual solution y(t) = t 2 + 2eet/2 2 . d. y = t 2(sin 2t 2ty), 1 t 2, y(1) = 2, with h = 0.25; actual solution y(t) = 1 2 t 2(4 + cos 2 cos 2t). 3.