Solved: 8487. Heat equation The flow of heat along a thin
Chapter 12, Problem 85(choose chapter or problem)
8487. Heat equation The flow of heat along a thin conducting bar is governed by the one-dimensional heat equation (with analogs for thin plates in two dimensions and for solids in three dimensions) 0u 0t = k 02u 0x2, where u is a measure of the temperature at a location x on the bar at time t and the positive constant k is related to the conductivity of the material. Show that the following functions satisfy the heat equation with k = 1. u1x, t2 = 4e-4t cos 2x
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