The initial-value problem y' = e y , 0 < t < 0.20, >>(0) = 1, has solution ^(r) =: 1
Chapter 5, Problem 13(choose chapter or problem)
The initial-value problem y' = e y , 0 < t < 0.20, >>(0) = 1, has solution ^(r) =: 1 ln(l et). Applying the three-step Adams-Moulton method to this problem is equivalent to finding the fixed point Wj+i of g(w) = Wi + ^ {9ew + l9eWi - Se"'"1 + e Wi - 2 ). a. With h = 0.01, obtain vty+i by functional iteration for i = 2,..., 19 using exact starting values wo, W|, and W2. At each step, use w, to initially approximate w/+|. b. Will Newton's method speed the convergence over functional iteration?
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