2. Use the product method and solve an eigenvalue problem to find the solution of the following Laplace equation on a rectangular plate subject to the given boundary conditions. Uxx + Uyy = 0, 0 < x < a, 0 < y < b %3D u(0, y) = 0, uz (a, y) = 0, 0 < y < b u(x, 0) = 0, u(x, b) = f (x), 0 < x < a

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