SOLUTION: show that the following function ( the real part of f(z))are harmonic and find its corresponding v( x,y ) :

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Question 351313: show that the following function ( the real part of f(z))are harmonic and find its corresponding v( x,y ) :


e^x *( cos y ) ,


ln (squar x + squar y ) ,


y /squar ( 1 - x ) squar y


what hamonic is mean mathematiclly ?
plz explain>>>
thanks



Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Harmonic means that a function satisfies the Laplace equation, .
( is the partial derivative of with respect to , is partial derivative of with respect to )
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, so the function is harmonic.
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I leave the last one for you to finish.
Follow the same procedure.

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