Construct an analytic function whose real part is ux y x25x

Construct an analytic function whose real part is u{x, y) = x^2-5xy^2+4y^3

u(x,y)=x²-5xy²+4y³

ux=2x-5y²

uxx=2

uy= -10xy+12y²

uyy=-10x+24y

clearly.u_xx+u_yy 0

i.e.. u is not harmonic..

thus no suvh analytic function exists..

$Construct an analytic function whose real part is u{x, y) = x^2-5xy^2+4y^3 Solutionu(x,y)=x2-5xy2+4y3 ux=2x-5y2 uxx=2 uy= -10xy+12y2 uyy=-10x+24y clearly.uxx+u$

Construct an analytic function whose real part is ux y x25x

Solution

Get Help Now

Submit a Take Down Notice