What is the degree of the homogeneous function $x^{2} \sin{\left(\frac{y}{x} \right)} + x y$?

Explanation

1. 01

   Put $\lambda x, \lambda y$ in place of $x, y$ and factor out the power of $\lambda$.

2. 02

   $\lambda^{2}$ comes out, so the degree is 2.