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.)