Solved: Solve for u(x, t) using Laplace transforms: u t = k 2u x2 subject to u(x, 0) =
Chapter 13, Problem 13.8.3(choose chapter or problem)
Solve for u(x, t) using Laplace transforms: u t = k 2u x2 subject to u(x, 0) = f(x), u(0, t) = 0, and u(L, t) = 0. Invert the Laplace transform of u(x, t) using the residue theorem for contour integrals in the complex s-plane. By what other method can this representation of the solution be obtained? (Compare to Exercise 13.5.6.)
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