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Solve for the steady-state temperature distribution in a

Question: 1. Apply separation of variables to solve the following mixed boundary value problem:

2. Solve for the steady-state temperature distribution in a thin flat plate covering the rectangle 0 ≤ x ≤ a, 0 ≤ y ≤ b if the temperature on the vertical sides and bottom side are kept at zero, and the temperature along the top side is

f(x) = x(x - a)²

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Mathematics: Solve for the steady-state temperature distribution in a

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