Let u(x, y) = 2x + 3x²y - y³. |(i) Show that u is a harmonic function. i) Find a harmonic conjugate of u.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
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Let u(x, y) = 2x + 3x?y - y³.
(i) Show that u is a harmonic function.
(ii) Find a harmonic conjugate of u.
Transcribed Image Text:Let u(x, y) = 2x + 3x?y - y³. (i) Show that u is a harmonic function. (ii) Find a harmonic conjugate of u.
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