uxy x25xy2 Construct an analytic function whose real part is

u(x,y)= x^2-5xy^2

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

u(x,y)=x²-5xy²+4y³

u_x=2x-5y²

u_xx=2

u_y=-10xy+12y²

u_yy= -10x+24y

since, u_xx+u_yy 0

which means u is not harmonic..

therefore..no such analytic function exists..

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

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