Dirichlet Problem

What is the solution for this equation?
$ \nabla^2u=0,  0<x<a, 0<y<b, 0<z<c,<br />
u(0,y,z)=sin(\frac{\pi*y}{b})sin(\frac{\pi*z}{c}),  u(a,y,z)=0,<br />
u(x,0,z)=0, u(x,b,z)=0,<br />
u(x,y,0)=0, u(x,y,c)=0  $

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