COMPLEX VARIABLES::::: harmonic in some domain and ﬁnd a harmonic conjugate. i have the solution posted in the pdf, second page number 4

Question

COMPLEX VARIABLES:::::  harmonic in some domain and ﬁnd a harmonic conjugate. i have the solution posted in the pdf, second page number 4

anonymous · Answer

attachment

anonymous · Answer

in general, could someone explain what harmonic means, please?!

experimentx · Answer

consisting of sines and cosines i guess

anonymous · Answer

do you know how they are solving the problem in question 4?

experimentx · Answer

woops!! i was kinda lost .. hold on for sometime

zepdrix · Answer

Hmm this appears to be a little bit beyond my scope of understanding at the moment :c

But just looking at the process, it appears to be the same method we would use for solving `Exact Equations` just with a few fancy equality's thrown in due to this being a complex function.

experimentx · Answer

looks like sines and cosines were just particular cases ... In general function satisfying Laplace equation was called Harmonic functions http://en.wikipedia.org/wiki/Harmonic_function I haven't advanced that far.

anonymous · Answer

oh ok, thank you ^_^