Solved: In each of 1 through 6 find approximate values of the solution of the given

Chapter 8, Problem 1

(choose chapter or problem)

In each of 1 through 6 find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3, and 0.4. Compare the results with those obtained by the Euler method and the backward Euler method in Section 8.1 and with the exact solution (if available). (a) Use the improved Euler method with h = 0.05. (b) Use the improved Euler method with h = 0.025. (c) Use the improved Euler method with h = 0.0125.. y = 3 + t y, y(0) = 1

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