Approximate the solution to the following partial differential equation using the

Chapter 12, Problem 1

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Approximate the solution to the following partial differential equation using the Backward-Difference method. du d 2 u y = 0, 0 < x < 2, 0 < t; dt dx2 u(0, t) = m(2, f) = 0, 0 < r, h(x, 0) = sin x, 0 < x < 2. 2 Use m = A, T = 0.1, and N = 2 and compare your results to the actual solution u(x, t) =

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