Laplace's equation in three dimensions is u,,+ tj,+u,,=o. Assuming that u = X (x) Y (y)Z

Chapter 5, Problem 11

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Laplace's equation in three dimensions is u,,+ tj,+u,,=o. Assuming that u = X (x) Y (y)Z (z), find 3 ordinary differential equations satisfied by X, Y, and 2.

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