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Find the solution u(x, y) of Laplace's equation in the rectangle 0 < x < a, 0 < y < b, that satisfies the boundary conditions u(0, y) = 0, u(a, y) = 0, 0 < y < b, u(x, 0) = 0, u(x, b) = g(x), 0 ≤ x ≤ a.
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Find the solution u(x, y) of Laplace's equation in the rectangle 0 < x < a, 0 < y < b, that satisfies the boundary conditions u(0, y) = 0, u(a, y) = 0, 0 < y < b, u(x, 0) = 0, u(x, b) = g(x), 0 ≤ x ≤ a.

User Gabriel Caceres
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3 votes

Answer:

The solution has been given in the attachment.

Explanation:

Find the solution u(x, y) of Laplace's equation in the rectangle 0 < x < a, 0 &lt-example-1
User Andrew Lorien
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