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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 | |