Answer: In each of 1 through 6 determine an approximate value of the solution at t = 0.4

Chapter 8, Problem 2

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In each of 1 through 6 determine an approximate value of the solution at t = 0.4 and t = 0.5 using the specified method. For starting values use the values given by the Runge Kutta method; see 1 through 6 of Section 8.3. Compare the results of the various methods with each other and with the actual solution (if available). (a) Use the fourth order predictorcorrector method with h = 0.1. Use the corrector formula once at each step. (b) Use the fourth order AdamsMoulton method with h = 0.1. (c) Use the fourth order backward differentiation method with h = 0.1.y = 5t 3y, y(0) = 2

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