Problem 13.3.5: Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium at temperature zero. If the linear law of heat transfer applies, then the heat equation takes on the form a²u k hu Əx² ди 0 0 at' where h is a constant. Find the temperature u(x, t) if the initial temperature is ƒ(x) throughout and the ends x = 0 and x = L are insulated. See figure below. insulated 0° insulated 0°

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A: since you have asked multiple question in one request so i will answer only first question.

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Q: Problem 13.3.5: Suppose heat is lost from the lateral surface of a thin rod of length L into a…

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