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

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Advance Math

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 / zdefined throughout the complex plane except the beginning of the axes. Draw themlevel curves for the real and imaginary part of this functionand notice that they are two families of curves perpendicular to each other.

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