If the function u (x, y) is a harmonic conjugate of v (x, y) prove that...

If the function u (x, y) is a harmonic conjugate of v (x, y) prove that the curves u (x, y) = st. and v (x, y) = stations. are orthogonal to each other. These curves are called level curves. Now consider the function f (z) = 1 / z
defined throughout the complex plane except the beginning of the axes. Draw them
level curves for the real and imaginary part of this function
and notice that they are two families of curves perpendicular to each other.

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Expert Solution

Colby Messinger answered 1 year ago

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