Solved: (a) Find the solution u(x, y) of Laplaces equation in the rectangle 0 < x < a,0
Chapter 10, Problem 14(choose chapter or problem)
(a) Find the solution u(x, y) of Laplaces equation in the rectangle 0 < x < a,0 < y < b, that satisfies the boundary conditionsux(0, y) = 0, ux(a, y) = 0, 0 < y < b,u(x, 0) = 0, u(x, b) = g(x), 0 x a.(b) Find the solution if g(x) = 1 + x2(x a)2.(c) Let a = 3 and b = 2; plot the solution in several ways.
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