Find all (real) solutions to the two-dimensional Laplace equation of the form u = log p(x, y),
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Find all (real) solutions to the two-dimensional Laplace equation of the form u = log p(x, y), where p(x, y) is a quadratic polynomial. Do these solutions form a vector space? If so, what is its dimension?
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The twodimensional Laplace equation in Cartesian coordinates is 2ux2 2uy2 0 In terms of the function ...View the full answer
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