Is the function u(x, y) harmonic? Why is harmonic function? Calculate the analytical function f(z)=u(x, y)+iv(x,y) if the answer is positive. u(x,y)= -3x2+3y2+3y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Is the function u(x, y) harmonic? Why is harmonic function? Calculate the analytical function

f(z)=u(x, y)+iv(x,y) if the answer is positive.

u(x,y)= -3x2+3y2+3y

 

1) Aşağıdaki u(x, y) fonksiyonu harmonik midir? Neden? Cevap olumlu ise f(z) = u(x, y) + iv(x, y) analitik
fonksiyonunu bulun.
u(x, y) = -3x2 + 3y? + 3x
Transcribed Image Text:1) Aşağıdaki u(x, y) fonksiyonu harmonik midir? Neden? Cevap olumlu ise f(z) = u(x, y) + iv(x, y) analitik fonksiyonunu bulun. u(x, y) = -3x2 + 3y? + 3x
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