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poisson equation


I am trying to solve poisson equation:

diff(diff(u(y,z),y),y)  + diff(diff(u(y,z),z),z) = 1

using separation of variables method.

The boundary conditions for the problem are:

u(1,z)=0
u(-1,z)=0
u(y,1)=0
u(y,-1)=0


can you please guide me to a good reference which will help me in
solving this problem using separation of variables.

Do you know how to solve this equation using mathematica



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