Solved: The boundary-value problem y = 4(y x), 0 x 1, y(0) = 0, y(1) = 2, has the

Chapter 11, Problem 1

(choose chapter or problem)

The boundary-value problem y = 4(y x), 0 x 1, y(0) = 0, y(1) = 2, has the solution y(x) = e2(e4 1)1(e2x e2x )+x. Use the Linear Shooting method to approximate the solution, and compare the results to the actual solution. a. With h = 1 2 ; b. With h = 1 4 .

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