# Heat Equation : Temperature Distribution on a Brass Rod

9. The temperature distribution u(x, t) in a 2-m long brass rod is governed by the problem

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(a) Determine the solution for u(x, t).

(b) Compute the temperature at the midpoint of the rod at the end of 1 hour.

(c) Compute the time it will take for the temperature at that point to diminish to 5° C.

(d) Compute the time it will take for the temperature at that point to diminish to 1°C.

Please see the attached file for the fully formatted problems.

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Temperature Distribution on a Brass Rod is investigated. The solution is detailed and well presented.