Let .f(x, y) = utx, y, 0) be the initial temperature in a
Chapter 12, Problem 35(choose chapter or problem)
Let .f(x, y) = utx, y, 0) be the initial temperature in a thin square plate of side 7r with edges kept at onc and faces perfectly insulated. Separating variables. obtain from U t = C 2 V 2 U the solution x u(x, y, t) = L L Bmn sin mx sin II}" e-C2(m2+n2)t
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