GATE 2014 ME: Find v(x,y) for Analytic Function u(x,y) = x²-y² | Complex Variables

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Mechanical Engineering > GATE 2014 SET-3 > Engineering Mathematics

An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x,y) + iv(x,y), where i = √-1 . If u(x,y) = x² - y², then expression for v(x,y) in terms of x, y and a general constant c would be

A

xy + c

B

(x²+y²)/2 + c

C

2xy + c

D

(y-x)²/2 + c

Correct : c

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