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Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations uxx +...

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Advance Math

Use the Fourier transform to find the solution of the followinginitial boundaryvalue Laplace equations

uxx + uyy = 0, ?? < x < ? 0 < y < a,

u(x, 0) = f(x), u(x, a) = 0, ?? < x < ?

u(x, y) ? 0 uniformlyiny as|x| ? ?.

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