Find the steady state solution for the following heat equation with Dirichlet boundary conditions and a temperature dependent source term: dw - ak?(w – T), 0 < x < L, t > 0, dt w(0, t) = To, w(L, t) = T1, t> 0, w(x,0) = 0, dx2 where a, k, T, L, T0, and T1 are constants.

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