3) \e w- ly, u(x,y)+ iv(xiy) and I= X+ a) for function w to be analatic show the providing the a del operator and known as V: 2+2. Because of that Vu: au +i au ay -> condition of Vu• Vv =0 (in here it...

Extracted text: 3) \e w- ly, u(x,y)+ iv(xiy) and I= X+ a) for function w to be analatic show the providing the a del operator and known as V: 2+2. Because of that Vu: au +i au ay -> condition of Vu• Vv =0 (in here it is like this. For exonmple known as Vv) 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) function is harmonic so it provides the =0. In this case, u and v condition s of : u= gu in separated Should provicle the harmonic conditions.)