1. Reduce to two ordinary differential equations, one an eigenvalue problem, the other having one initial condition, and find the particular solutions: (a) nze 032 - 4 = 0 for 0 0, au at (x, 0) = 0, w (0, t) = u( 1, 1) =0. (b ) you a/2 at aatu= 0 for 0 0, u(x, 0) = 0, au ax (0, t) = u(1, t) = 0. (c) au + -1=0 ay for a 0, # (0, 1) = 0, u(1, t) = 0