Let u(x,y)=4x+3x2y−y3. Part (a) Show that u is a harmonic function. Part (b) Find a harmonic conjugate of u.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 34RE
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Let u(x,y)=4x+3x2y−y3.

Part (a)

Show that u is a harmonic function.

Part (b)

Find a harmonic conjugate of u.

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