In each of 1 through 6, determine an approximate value of

Chapter 8, Problem 1

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In each of 1 through 6, determine an approximate value of the solution at t = 0.4and t = 0.5 using the specified method. For starting values, use the values given by the RungeKutta method; see 1 through 6 of Section 8.3. Compare the results of the variousmethods with each other and with the actual solution (if available).(a) Use the fourth order predictorcorrector method with h = 0.1. Use the corrector formulaonce 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= 3 + t y, y(0) = 1

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