Solve the following one-dimensional heat equation problems. (a) du 0 0 u(0, t) = 0, u(1,...

 

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Solve the following one-dimensional heat equation problems. (a) du 0 <r <1, t > 0 u(0, t) = 0, u(1, t) = 0 for t > 0 -{: u(x, 0) 1 <I<1 (b) du = 2 0 <x < T, t> 0 u(0, t) = 0, u(, t) = 27 for t >0 %3D 1 u(x, 0) = 2x + sin r + sin 3x + 2 sin 9r, 0 <x < T Solve the following one-dimensional heat equation problems. (a) du 0 <r <1, t > 0 u(0, t) = 0, u(1, t) = 0 for t > 0 -{: u(x, 0) 1 <I<1 (b) du = 2 0 <x < T, t> 0 u(0, t) = 0, u(, t) = 27 for t >0 %3D 1 u(x, 0) = 2x + sin r + sin 3x + 2 sin 9r, 0 <x < T

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