As in Exercises 3.6, for some problems you will find it essential to have a calculator or computer available.† For Problems 1–17, note whether or not is bounded.
Use the Taylor methods of orders 2 and 4 with h = 0.25 to approximate the solution to the initial value problem
at x = 1. Compare these approximations to the actual solution y = 1- e-x evaluated at x = 1.
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