The tip of a 2-m-long slender rod with lateral surface, Mechanical Engineering

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The tip of a 2-m-long slender rod with lateral surface

The tip of a 2-m-long slender rod with lateral surface insulated is dipped into a hot liquid at 200?C. What differential equation describes the temperature? After a long time, what is the temperature distribution in the rod if the other end is held at 0?C? The lateral surfaces of the rod are insulated.

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