A rod of length n coincides with the interval [0, 1] on the x-axis. The rod has initial temperature f(x) = 5 for 0 0. Assume the rod satisfies all the assumptions of the heat equation with a constant...

A rod of length n coincides with the interval [0, 1] on the x-axis.<br>The rod has initial temperature f(x) = 5 for 0 < x <n with the ends at<br>temperature zero for all t > 0. Assume the rod satisfies all the<br>assumptions of the heat equation with a constant a? of three.<br>Set up an initial-boundary value problem for the temperature u(x,t), then find<br>the solution, the temperature u(x, t).<br>

Extracted text: A rod of length n coincides with the interval [0, 1] on the x-axis. The rod has initial temperature f(x) = 5 for 0 < x=""> 0. Assume the rod satisfies all the assumptions of the heat equation with a constant a? of three. Set up an initial-boundary value problem for the temperature u(x,t), then find the solution, the temperature u(x, t).

Jun 04, 2022

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A rod of length n coincides with the interval [0, 1] on the x-axis. The rod has initial temperature f(x) = 5 for 0 0. Assume the rod satisfies all the assumptions of the heat equation with a constant...

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