A rod of unit length is insulated at x 0 and is kept at temperature zero at x 1. If the initial temperature of the rod is a constant u0, solve kuxx ut , 0 x 1, t 0 for the temperature u(x, t). [Hint: Expand 1/(1 e2"s>k ) in a geometric series.]

L3 - 4 ▯ ▯ 1 ex. Sketch the graph of y = −2s n x . 2 1 −π...