The Laplace operator is defined by = xx + yy . A function
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The Laplace operator Δ is defined by Δƒ = ƒxx + ƒyy. A function u(x, y) satisfying the Laplace equation Δu = 0 is called harmonic.
Find all harmonic polynomials u(x, y) of degree 3, that is,
Transcribed Image Text:
u(x, y) = ax + bxy + cxy + dy.
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We compute the firstorder partials ux and uy and t...View the full answer
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