Solution: Use the Piecewise Linear Algorithm to approximate the solution to the

Chapter 11, Problem 1

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Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem y + 2 4 y = 2 16 cos 4 x, 0 x 1, y(0) = y(1) = 0 using x0 = 0, x1 = 0.3, x2 = 0.7, x3 = 1. Compare your results to the actual solution y(x) = 1 3 cos 2 x 2 6 sin 2 x + 1 3 cos 4 x.

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