Mathematics, 31.07.2019 18:10 Dadchans3779

6.8. verify that u(x; y)=asin(2px) sin(2py) solves poisson’s equation ñ2u= onw = (0; 1)(0; 1) for some a-value, where r(x; y) = sin(2px) sin(2py). (a) find the correct a value. (b) compute the total source s = rr w rda: (c) compute the flux out through the top part of w (y = 1) and verify by symmetry that it is one-quarter that of the full source s.

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6.8. verify that u(x; y)=asin(2px) sin(2py) solves poisson’s equation ñ2u= onw = (0; 1)(0; 1) for so...

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