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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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