Consider the Neumann problem for Laplace's equation in the square: 0 < x < 1, 0 < y < : = = = Vºu(x, y) du (0, y) da du
Posted: Thu May 12, 2022 2:38 pm
Consider the Neumann problem for Laplace's equation in the square: 0 < x < 1, 0 < y < : = = = Vºu(x, y) du (0, y) da du (x,0) dy 0 du (1, y) = 0 dx du cos(3r); (x, 7) = 6x – 37 dy (a) Show that the necessary condition for a solution is satisfied. (b) Solve the problem using the method of separation of variables, showing all steps.