We examine a heat problem in 1D. Assume that a rod with given temperature distribution u_0(x) is cooled to temperature 0 on the exteriors at 0 and pi. Assume that u(x,t) for the Temperature at point x ...
It may be necessary to use Pythagoras' theorem and trigonometry to solve a problem. The trigonometric ratios can be used to solve 3-dimensional problems which involve ...