Reference no: EM131103876
Math 054 Partial Differential Equations - HW Assignment 6
1. For g(x) = x2, 0 < x < 1, write a generalized Fourier series in terms of the eigenfunctions
Un(x) = √2 sin nπx, n = 1, 2, ...
2. Solve for u(x, y) (you may use results shown in class).
∇2u(x, y) = 0, 0 < x, y < 1
uy(x, 0) = ½ - x, uy(x, 1) = 0
ux(0, y) = 0, ux(1, y) = 0
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