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Question

Mathematics Question on Analytic functions

Ifƒ(x+iy)=x3−3.xy2+¡Ψ(x,y)  where  i=−1ƒ(x + iy) = x^3 − 3.xy^2 + ¡\Psi(x,y) \space where \space i= \sqrt{-1} and ƒ (x+iy) is an analytic function, then Ψ(x,y)\Psi (x, y) is:

A

y3−3x2yy^3-3x^2y

B

3x2y−y33x^2y-y^3

C

x4−4x3yx^4-4x^3y

D

xy−y2xy-y^2

Answer

3x2y−y33x^2y-y^3

Explanation

Solution

The correct option is(B)