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Engineering Maths · Q29

Complex Variable

Engineering and GATE · Engineering Maths · question 29

Q29

A harmonic function is analytic if it satisfies the Laplace equation. If u(x, y) = 2x2 - 2y2 + 4xy is a harmonic function, then its conjugate harmonic function v(x, y) is

A.
4y2 - 4xy + constant
B.
-4xy + 2y2 - 2x2 + constant
C.
2x2 - 2y2 + xy + constant
D.
4xy - 2x2 + 2y2 + constant
Answer

Answer: Option D

Solution

Answer: Option D
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