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Question 1: Linear 1-Dimensional heat equation Consider 1-Dimensional Heat Equation: Ou d' u = a at , 0 0. Solve the following cases by using

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Question 1: Linear 1-Dimensional heat equation Consider 1-Dimensional Heat Equation: Ou d' u = a at , 00. Solve the following cases by using ADM a) Case 1: initial condition u( x, 0 ) = sin (xx), OXx/ and boundary condition u( 0, t) = u( 1, t) =0, t> 0. Exact solution is u( x, t) = esin(xx)

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