Find the steady-state solutions (temperatures) in the square plate in Fig. 297 with α = 2 satisfying

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Find the steady-state solutions (temperatures) in the square plate in Fig. 297 with α = 2 satisfying the following boundary conditions. Graph isotherms.
(a) u = 80 sin πx on the upper side, 0 on the others.

(b) u = 0 on the vertical sides, assuming that the other sides are perfectly insulated.

y a a

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