Verify that U(x,y) = x3y - xy3 is harmonic on the complex plane.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
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Verify that U(x,y) = x3y - xy3 is harmonic on the complex plane. Determine all harmonic conjugates. Show the systematic derivation.
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