Solve Laplace's equation u 8²u dx² ™ dy² = 0, 0 < x < a, 0< y < b for a semi-infinite plane extending in the positive-y direction (0 < r < 7, y > 0). Assume that u = 0 on the vertical surfaces at r = 0 and a = 7, and u(x, 0) = f(x),0 < x < «. Assume that u(x, y) is bounded at y → 0o.

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