Problem # 1 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: Insulated 0° kuxx-hu= ut, 0 0 Insulated L 0° Heat transfer from lateral surface of the rod X Find the temperature u(x, t) if the initial temperature is f(x) throughout and the ends x = 0 and x = L are insulated.

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