Find the steady-state temperature in the plate in Prob. 21 if the lower side is kept at U₀°C the upper side at U₁°C and the other sides are kept at 0°C. Split into two problems in which the boundary temperature is 0 on three sides for each problem.

Data from Prob. 21

The faces of the thin square plate in Fig. 297 with side α = 24 are perfectly insulated. The upper side is kept at 25°C and the other sides are kept at 0°C. Find the steady-state temperature u(x, y) in the plate.

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