The harmonic conjugate of 2x -x} +3xy2 is
x - 3x²y+y3
2y-3x²y + y +
y+3x²y+y?
2y+3x²y-y3
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Answer:
2y-3x²y+y+constant
Step-by-step explanation:
vy = ux = 2 − 3x
2 + 3y
2
Thus
v(x, y) = 2y − 3x
2
y + y
3 + φ(x).
Now vx = −6xy + φ
0
(x) = −uy = −6xy. Thus φ(x) =constant, so
v(x, y) = 2y − 3x
2
y + y
3 + constant
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