Solve the non-homogeneous problem given by 1 du T k at 1

Solve the non-homogeneous problem given by D2u T where T is a constant. Hint: First find the steady-state solution to reduce to a homogeneous problem. The problem for the transient heat distribution is the same as discussed in the lucture for mixed Dirichlet-Neumann boundary conditions. The result Of this can be used. Then determine and compute the relevant integr als.