A thin, homogeneous bar having thermal diffusivity of 9

Chapter 17, Problem 17.13

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A thin, homogeneous bar having thermal diffusivity of 9 and a length of 2 cm has insulated sides and its left end maintained at zero temperature, while its right end is perfectly insulated. The bar has an initial temperature f (x) = x 2 for 0 x 2. Determine the temperature distribution u(x,t) and limt0 u(x,t).

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