Solve the initial value problem by Adams–Moulton (7a), (7b), 10 steps with 1 correction per step. Solve exactly and compute the error. Use RK where no starting values are given

Do Prob. 3 by RK, 5 steps, h = 0.2. Compare the errors.

Data from Prob. 3

Solve the initial value problem by Adams–Moulton (7a), (7b), 10 steps with 1 correction per step. Solve exactly and compute the error. Use RK where no starting values are given

y' = 1 + y², y(0) = 0, h = 0.1, (0.100335, 0.202710, 0.309336)