[itex]f(x,y,z)[/itex] is function that:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]

x^{q-1}\frac{\partial f}{\partial x}=

y^{q-1}\frac{\partial f}{\partial y}=

z^{q-1}\frac{\partial f}{\partial z}

[/itex].

How to prove that exists function [itex]g[/itex]:

[itex]f(x,y,z)=g(x^q+y^q+z^q)[/itex]

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# Proof that function exists

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