Can someone help me with this, it's slightly different from other separable equation PDE's I've done before:
Consider a thin rectangular plate (0 <= x <= pi, 0 <= y <= pi/2) with the following steady-state temperature distributions on the edges
u(x,0) = 0
u(0,y) = 0
u(pi,y) = 0
u(x, pi/2) = 60sinx + 20sin2x
Find u(x,t) to determine the rate of change.
Thank you very much for any help. It's greatly appreciated.