Let f(z) = u + iv be an analytic function, where u = x3-3xy2... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

Let f(z) = u + iv be an analytic function, where u = x3-3xy2 +3x2 -3y2, then the imaginary part v of f(z) is

A

3x2y + 6xy-y3 + c

B

3x2y + 6xy+y3 + c

C

x2y + 6xy-y3 + c

D

3x2y - 6xy-y3 + c

Answer

3x2y + 6xy-y3 + c

Explanation

Solution

The correct answer is(A): 3x2y + 6xy-y3 + c