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Engineering Maths · Q75

Complex Variable

Engineering and GATE · Engineering Maths · question 75

Q75

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

An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y), where   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.
C.
2xy + c
Answer
D.

Answer: Option C

Solution

Answer: Option C
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