Consider the initial-value problem y 2y, y(0) 1. The
Chapter 9, Problem 9.1.13(choose chapter or problem)
Consider the initial-value problem y 2y, y(0) 1. The analytic solution is y e2x . (a) Approximate y(0.1) using one step and Eulers method. (b) Find a bound for the local truncation error in y1. (c) Compare the error in y1 with your error bound. (d) Approximate y(0.1) using two steps and Eulers method. y(e) Verify that the global truncation error for Eulers method is O(h) by comparing the errors in parts (a) and (d)
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