The function given in is analytic. (a) Verify that u(x, y) loge(x2 y2 ) is a harmonic

Chapter 17, Problem 50

(choose chapter or problem)

The function given in Problem 49 is analytic.

(a) Verify that \(u(x, y)=\log _{e}\left(x^{2}+y^{2}\right)\) is a harmonic function.

(b) Verify that \(v(x, y)=\tan ^{-1}(y / x)\) is a harmonic function.

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