Consider c u t = x K0 u x + u, where c, , K0, and are functions of x, subject to u(0
Chapter 5, Problem 5.4.1(choose chapter or problem)
Consider c u t = x K0 u x + u, where c, , K0, and are functions of x, subject to u(0, t)=0 u(L, t)=0 u(x, 0) = f(x). Assume that the appropriate eigenfunctions are known. (a) Show that the eigenvalues are positive if < 0 (see Section 5.2.1). (b) Solve the initial value problem. (c) Briefly discuss limt u(x, t).
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