Consider the initial-value problem y 2x 3y 1, y(1) 5. The analytic solution is (a) Find
Chapter 9, Problem 17(choose chapter or problem)
Consider the initial-value problem y 2x 3y 1, y(1) 5. The analytic solution is (a) Find a formula involving c and h for the local truncation error in the nth step if Eulers method is used. (b) Find a bound for the local truncation error in each step if h 0.1 is used to approximate y(1.5). (c) Approximate y(1.5) using h 0.1 and h 0.05 with Eulers method. See in Exercises 2.6. (d) Calculate the errors in part (c) and verify that the global truncation error of Eulers method is O(h). 18.
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