a) Prove that f(z) = |z is not harmonic functions but f(z) = In(z) is harmonic. b) Using Demoivre's theorem, find the values of (3 + 3i)4 c) Draw the graph for the equation u = -4.1.(v-3)
a) Prove that f(z) = |z is not harmonic functions but f(z) = In(z) is harmonic. b) Using Demoivre's theorem, find the values of (3 + 3i)4 c) Draw the graph for the equation u = -4.1.(v-3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. а)
Prove that f(z) = |z| is not harmonic functions but f(z) = In(z) is harmonic.
b) Using Demoivre's theorem, find the values of
(3 + 31)%
c)
Draw the graph for the equation u = -4.1.(v– 3)
%3D
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