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Use the method of separation of variables, to the solution of the following problem. A metal bar 40 cm long with diffusivity k of 0.20

Use the method of separation of variables, to the solution of the following problem.

A metal bar 40 cm long with diffusivity k of 0.20 has its surface insulated. If the ends are kept at 20C and the initial temperature in the bar is 100C, what will be the temperature in the bar at any time t > 0?

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