Question: Show that if v is a harmonic conjugate for u then u is a harmonic conjugate for u Solution If f 2 u x y

Show that if v is a harmonic conjugate for u then

Show that if v is a harmonic conjugate for u then u is a harmonic conjugate for u Solution If f 2 u x y iv r y is analytic then if 2 v x y iu x y is analytic Thus u is a harmonic conjugate of v

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