Question: The general solution for Uxx + Uyy = 0, u(x, 0) = 1, u(x, ) = 0, u(0, y) = 0, u(, y) =

The general solution for Uxx + Uyy = 0, u(x, 0) = 1, u(x, ) = 0, u(0, y) = 0, u(, y) = 0 is laney+bne-n*y] sin(nxx) Olanex+bne "x] sin(ny) [an sin(nx) + b cos(-nx)] sin(ny) n=1 Olan sin(nxx) + bn cos(-nxx)] sin(ny) laney + beny] sin(nx) Olan sin(nxx) + bn cos(-nxx)] sin(nxy) lane*x + be-"**] sin(ny) O[an, sin(ny) + b, cos(-ny)] sin(nx) 100
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