Answered: Let u=2x(1-y). (a) Show that u(x, y) is… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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show proper working answer part c

Let
u=2x(1-y).
(a) Show that u(x, y) is harmonic.
(b) Find v(x, y), the conjugate harmonic function of u.
(c) Express u + iv as an analytic function of z.

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