Show that the following functions are harmonic and determine the conjugate functions. 1. x= -3y +3x-3y. 2. u= 3xy - y

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Show that the following functions are harmonic and determine the conjugate functions.
1. u= x -3xy +3x -3v?.
2. u= 3xy - y
Transcribed Image Text:Show that the following functions are harmonic and determine the conjugate functions. 1. u= x -3xy +3x -3v?. 2. u= 3xy - y
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