Question: 3. a. Solve the following initial boundary value problem for the heat equation Ou = D at O0 u(x, 0) = f(x) u(0, t) =

3. a. Solve the following initial boundary value problem for the heat equation Ou = D at O0 u(x, 0) = f(x) u(0, t) = u(L, t) =0, t>0, when f(r) = 6 sin L b. Solve the following initial boundary value problem for the diffusion equation Ou = D at Or2 , 00 u(x, 0) = f(x) Ou Ou (0, t ) = (L, t) =0, t>0, 0, T L/2

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