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Find the temperature distribution at equilibrium in a rectangular plate (0 ≤ x ≤ L, 0...

Find the temperature distribution at equilibrium in a rectangular plate (0 ≤ x ≤ L, 0 ≤ y ≤ H) when the side at y = 0 is subject to the prescribed temperature g(x) = 2x, the sides at x = 0 and x = L are maintained at zero temperature, and the side at y = H is insulated, by using the method of separation of variables.

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