How to Find a Harmonic Conjugate for a Complex Valued Function

How to Find a Harmonic Conjugate for a Complex Valued Function
Nice example of finding a harmonic conjugate for u(x, y) = x^2 - y^2 - x + y. I did this the shortest/fastest/easiest way possible. Hope this helps:)

[@andrewrezendes]

As pointed out in another comment, this is true, up to a constant. Meaning: both h and g could have included some constant that will show up in the final answer for v(x,y) as a +C; or choose your favorite letter.

[@mattyn909]

love the content

[@Edwin-km4xk]

Easy and fast thanks!

[@duckymomo7935]

Just to be clear the analytic function in the end is f(u, v) = u(x,y) + v(x,y)i ? Just substitution of u(x, y) given and v(x, y) derived

[@manmadhatelukala885]

Tq sir

[@TheMathSorcerer]

😃

[@duckymomo7935]

This was a year ago...

[@talhaprince6341]

last part of video is not cleared

[@Coolgiy67]

Your v is wrong it should be v= 2xy - x +c

[@shwanswarafatahqadir98]

I agree with you

[@prabalmohanta138]

No it should be 2xy-x-y because if u find total dv which is dv = 2d(xy) - dx -dy and integrare it. To get answer will be as same as in the video

[@محمدالمالكي-ث5ث]

شكرا 🙏

[@abdelkaderahmed496]

Stright to the point allah bless you

[@vector8310]

You lost me at the point when you did not explain why you were integrating. Then your integration steps were not explicit enough.

[@marciacabale4820]

That is wrong lol