Solved: Use all the Adams-Bashforth methods to approximate the solutions to the

Chapter 5, Problem 2

(choose chapter or problem)

Use all the Adams-Bashforth methods to approximate the solutions to the following initial-value problems. In each case use exact starting values and compare the results to the actual values. a. y' = 1 + y/t + (y/t)2 , 1 < t < 1.5, y(l) = 0, with h 0.1; actual solution y(/) = t tan(ln/). b. y'= sinr-l-e', 0 < r < 0.5, y(0) = 0, with/j = 0.1; actualsolutionyO) = 2-cosr-c'. c. y' - 1 < t < 1.5, y(l) = I, with h 0.1; actual solution y(t) =2t I. d. y' = t 2 , 0 < t < 0.5, y(0) = 0, with h =0.1; actual solution y(t) = I;3