Solution: In each of 1 through 5, determine an approximate value of the solution at t =
Chapter 8, Problem 4(choose chapter or problem)
In each of 1 through 5, 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 2 through 6 of Section 8.3. Compare the results of the various methods with each other and with the actual solution (if available). N a. Use the fourth-order predictor--corrector method with h = 0.1. Use the corrector formula once at each step. N b. Use the fourth-order Adams-Moulton method with h = 0.1. N c. Use the fourth-order backward differentiation method with h = 0.1.y_ = ( y2 + 2ty)/(3 + t2), y(0) = 0.5
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