Solved: Use each ofthe Adams-Bashforth methods to approximate the solutions to the

Chapter 5, Problem 4

(choose chapter or problem)

Use each ofthe Adams-Bashforth methods to approximate the solutions to the following initial-value problems. In each case, use starting values obtained from the Runge-Kutta method of order four. Compare the results to the actual values. , 2 - 2ry 2? + 1 a. y = t2 +\ ' 0 < ' < I- y(0) = 1, with h = 0.1 actual solution y(/) = ^ . y 2 1 b. y = , 1 < r < 2, y(l) = with h = 0.1 actual solution y(t) = \+t' - - - ' I"2 ' -- |n(/ + ,) 7 2r c. y = (y + y)/t, I < t < 3, y(l) = -2, with h = 0.2 actual solution y(t) = 1 - 2t d. y' = ty +At/y, 0 < r < I, y(0) = 1, with A =0.1 actual solution y(r) = \/A 3e~'2 .