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Verify that each of the functions uo = y, satisfies Laplace's equation (Sec. 23) and the boundary conditions Un un = sinh ny cos

Verify that each of the functions uo = y, satisfies Laplace's equation (Sec. 23) and the boundary conditions Un un = sinh ny cos nx : Uxx (x, y) + Uyy (x, y) = 0 (n = 1,2,...) u(x, y)=Aoy+) A, sinh nycos nx n=1 (0 < x

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