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Question # 2: Construct the solution for the given partial differential equation on initial and boundary conditions, by separation of variables (use Fourier series

Question # 2: Construct the solution for the given partial differential equation on initial and boundary conditions, by separation of variables (use Fourier series formulas). Ut = Uxx 0 < x < 2, t > 0, u(0, t) = 0 and u(2, t) = 0, u(x, 0) = = x

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using separation of variables we have UtUxx UtTxx where UxtTxt Therefore TxxTtt This is the wave ... blur-text-image

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