Solve u t = k 2u x2 with u x(0, t)=0 u(L, t)=0 u(x, 0) = f(x). For this problem you may
Chapter 2, Problem 2.4.2(choose chapter or problem)
Solve u t = k 2u x2 with u x(0, t)=0 u(L, t)=0 u(x, 0) = f(x). For this problem you may assume that no solutions of the heat equation exponentially grow in time. You may also guess appropriate orthogonality conditions for the eigenfunctions.
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