Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Complex Analysis

If f(x + iy) = x3 - 3xy2 + iψ (x, y) where i = √-1 and f(x + iy) is an analytic function. then ψ(x, y) is

1
y3 - 3x2y
2
3x2y - y3
3
x4 - 4x3y
4
xy - y2
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