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**poisson equation with non homogeneous B.C.**

hello,

I am having some trouble to solve a problem and I was wondering if someone could give me a clue. The problem is the following:

u,xx+u,yy=xy , 0<x<1, 0<y<1

BC:

u,x(0,y)=0 & u(1,y)=y for 0<y<1

u(x,0)=0 & u(x,1)=-x for 0<x<1

the equation is non homogeneous and so are the B.C.'s

thanks in advance

-marcel