1.

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. 4xy − 2x2 + 2y2 + constant
B. 4y2 − 4xy + constant
C. 2x2 − 2y2 + xy + constant
D. −4xy + 2y2 − 2x2 + constant
Answer» B. 4y2 − 4xy + constant


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