Consider vt = c 2 vxx - v (0 < x < L, t > 0), v(O, t) = 0,
Chapter 12, Problem 12.5(choose chapter or problem)
Consider vt = c 2 vxx - v (0 < x < L, t > 0), v(O, t) = 0, veL, t) = 0, vex, 0) = f(x), where the term -v models heat transfer to the surrounding medium kept at temperature O. Reduce this PDE by setting vex, t) = u(x, t)w(t) with w such that U is given by (9), (10).
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