# State and prove eulers theorem on homogeneous functions of 2 independent variables

$TheEuler\text{'}stheoremsaysthat\phantom{\rule{0ex}{0ex}}ifz=f\left(x,y\right)isahomogeneousfunction\phantom{\rule{0ex}{0ex}}thenwehave\phantom{\rule{0ex}{0ex}}x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}=nz\phantom{\rule{0ex}{0ex}}wherenisdegreeofthefunction$

Below is the proof of the theorem

Regards,

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