The initial temperature in a rod of unit length isf(x) throughout. There is heat
Chapter 13, Problem 8(choose chapter or problem)
The initial temperature in a rod of unit length isf(x) throughout. There is heat transfer from both ends, x = 0 and x = 1, into a surrounding medium kept at a constant temperature zero. Show that 00 u(x, t) = LAne-W.1(ancosanx + hsinanx), n=I where The eigenvalues are An = a, n = 1, 2, 3, ... , where the an are the consecutive positive roots of tan a = 2ah/( a2 - h2).
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