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(,t) and lim _{t →t} u(x. t).

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The initial boundary value problem for uxt for a thin homogeneous bar having thermal ... View the full answer