3) \f w=u(x,y) +iv(xiy) and = X+ ly,a(x,y)+ iv(xiy) and+iy,a) for function wcondition of Tu. Vv co (in hereknown as V: + . Because of that Ju= ↑ 34 + î auto be analaticshow the providingtheo Cin hereita del operator and%3Di2.Because ofayis like this. For exompleknown as )b) for function wto bean harmonic function it has to beanalatic, s Show the prouicling the conditions of Cauchy-Riemann(Hint: one u(xiy) tunction is harmonicsD it provides the=0-In this case ,u nd vconclition s of : Vů= gu%3D%3Din separated Should provide the harmonic conclitions.)

Answered: Image /qna-images/answer/5e0ef9d4-7560-420d-94bd-38d432e1f1c2.jpg

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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