The Laplace operator is defined by = xx + yy . A function (x,
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The Laplace operator is defined by Δƒ = ƒxx + ƒyy. A function ƒ(x, y) satisfying the Laplace equation Δƒ = 0 is called harmonic. A function ƒ(x, y) is called radial if ƒ(x, y) = g(r), where r = √x2 + y2.
Use Eq. (12) to prove that in polar coordinates (r, θ),
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The polar coordinates are x r cos 0 y r sin 0 Hence x dy x r 20 20 By Eq 1...View the full answer
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