Let's practice solving non-homogeneous problem using the superposition: diffusion equation in the domain (0, L) OT = D -+Q Ot Ox with following boundary and T -k (0,t) = q. T(L,t) =T, T(x, 0) = 7 (x) initial conditions: a. Does it require T(3)(t). 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)].