Considering f(z) = z where z is analytic. z = x + iy.(adsbygoogle = window.adsbygoogle || []).push({});

f(z) = u + iv = x + iy.

Hence u=x and v=y.

Using Cauchy Reimann eqns.

∂u/∂x = ∂v/∂y =1 and

∂u/∂y = -∂v/∂x where u=x and v=y hence

∂x/∂y = -∂y/∂x

is this relation true in general?

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# Is this valid?

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