Suppose that the temperature in a long, thin rod placed
Chapter , Problem 66(choose chapter or problem)
Suppose that the temperature in a long, thin rod placed along the x-axis is initially Cys2ad if | x | < a and 0 if | x | . a. It can be shown that if the heat diffusivity of the rod is k, then the temperature of the rod at the point x at time t is Tsx, td C as4kt y a 0 e 2sx2ud 2ys4ktd du To ind the temperature distribution that results from an initial hot spot concentrated at the origin, we need to compute lim a l 0 Tsx, td. Use lHospitals Rule to ind this limit
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