Let's practice solving non-homogeneous problem using the superposition: diffusion equation in the domain (0, L) T oT D. +Q Ox t with following boundary and T Ox -k T(L,t)=T, a. Does it require 7(1). Give reasons for your answer. b. Solve the problem completely [you don't know 7(x). So you need to leave the Fourier integrals in that form as we did in class). [Note that the method would also work for a given Q(x)]. T'(x,0) = 7 (x) initial conditions: