Answer: Use Taylors method of order two to approximate the solutions for each of the

Chapter 5, Problem 1

(choose chapter or problem)

Use Taylors method of order two to approximate the solutions for each of the following initial-value problems. a. y = te3t 2y, 0 t 1, y(0) = 0, with h = 0.5 b. y = 1 + (t y)2, 2 t 3, y(2) = 1, with h = 0.5 c. y = 1 + y/t, 1 t 2, y(1) = 2, with h = 0.25 d. y = cos 2t + sin 3t, 0 t 1, y(0) = 1, with h = 0.25 2.