3) Ie w= u(x.y)+ iv(x,y) and エ-メ+ a) for function w condition of Vu. Vv =o in here it Known as V:î to be analatic -> show the providing the a del operator and 2. Because of that Ju= ↑ a4+ î 2u ay is like this. For exomple knouwn as Vv) b) for function w to be onalatíc, so Show the prouicling the condition s of Cauchy-Riemann (Hint: one u(xiy) tunction is harmonic an harmonic function it has to be so it provides the -0.n this case u ond v condition s of : - Ju in separated Should providle the harmonic conditions.)
3) Ie w= u(x.y)+ iv(x,y) and エ-メ+ a) for function w condition of Vu. Vv =o in here it Known as V:î to be analatic -> show the providing the a del operator and 2. Because of that Ju= ↑ a4+ î 2u ay is like this. For exomple knouwn as Vv) b) for function w to be onalatíc, so Show the prouicling the condition s of Cauchy-Riemann (Hint: one u(xiy) tunction is harmonic an harmonic function it has to be so it provides the -0.n this case u ond v condition s of : - Ju in separated Should providle the harmonic conditions.)
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) \f w=u(x,y) +iv(xiy) and = X+ ly,
a(x,y)+ iv(xiy) and
+iy,
a) for function w
condition of Tu. Vv co (in here
known as V: + . Because of that Ju= ↑ 34 + î au
to be analatic
show the providing
the
o Cin here
it
a del operator and
%3D
i2.Because of
ay
is like this. For exomple
known as )
b) for function w
to be
an harmonic function it has to be
analatic, s Show the prouicling the conditions of Cauchy-Riemann
(Hint: one u(xiy) tunction is harmonic
sD it provides the
=0-In this case ,u nd v
conclition s of : Vů= gu
%3D
%3D
in separated Should provide the harmonic conclitions.)
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