Question: 4. Solve the PDE ut = k(Uxx +72 u) , 0 0 subject to the following boundary conditions using the method of separation of variables.

4. Solve the PDE ut = k(Uxx +72 u) , 0 0 subject
4. Solve the PDE ut = k(Uxx +72 u) , 0 0 subject to the following boundary conditions using the method of separation of variables. Note that A, k and y are fixed positive constants. Ur (0, t) = 0 , ux(L, t) =0 , u(x, 0) = f(x) = A +2cos( -) + 3 cos( L

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