Dirichlet problem for a rectangle

hello,

am unable to derive formulas for solving dirichlet problems of the type

$ \nabla^2 =0 , 0<x<1, 0<y<1 , u(x,0)=0, u(x,1)=sin \pi x, u(0,y)=0, u(1,y)=0 $

so could anyone help me out deriving this type of formulas

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