Let E(h) = 1. 2 h a. For the initial-value problem y' = y + 1, 0 < / < I, y(0) = 0
Chapter 5, Problem 15(choose chapter or problem)
Let E(h) = 1. 2 h a. For the initial-value problem y' = y + 1, 0 < / < I, y(0) = 0, compute the value ofh to minimize E{h). Assume 3 = 5 x I0_(n+I) if you will be using -digit arithmetic in part (c). b. For the optimal h computed in part (a), use Eq. (5.13) to compute the minimal error obtainable. c. Compare the actual error obtained using A = 0.1 and h 0.01 to the minimal error in part (b). Can you explain the results?
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