Given the initial-value problem y' = -y + / + 1, 0 < r < 5, y(0) = 1, with exact

Chapter 5, Problem 11

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Given the initial-value problem y' = -y + / + 1, 0 < r < 5, y(0) = 1, with exact solution y(l) = e~' + t: a. Approximate y(5) using Euler's method with h 0.2, h =0.1, and h 0.05. b. Determine the optimal value of h to use in computing y(5), assuming that 8 = 10^6 and that Eq. (5.14) is valid.

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