1) Solve the Laplace equation ?^2(u)=0 (two dimensions so ?^2/?a^2 + ?^2/?b^2) where the boundaries of the...

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Solve the Laplace equation ?^2(u)=0 (two dimensions so ?^2/?a^2+ ?^2/?b^2) where the boundaries of the rectangle are 0 < a

u(a,0) = 0

u(a,n) = 0

u(0,b) = 0

u(m,b)= b^2

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