A) Show that the function u(x; y) = 5x4y - 10 x²y³ + y5 is harmonic and determine the harmonic conjugate v(x, y). B) Is the function f(z) = ex(x cosy - y siny + cosy) + ie*(x siny + y cosy +siny) analytic or not in complex plane?
A) Show that the function u(x; y) = 5x4y - 10 x²y³ + y5 is harmonic and determine the harmonic conjugate v(x, y). B) Is the function f(z) = ex(x cosy - y siny + cosy) + ie*(x siny + y cosy +siny) analytic or not in complex plane?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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