Chapter 13.5, Problem 39E

(a)

To determine

To Prove: That the function given as, $f\left(x,y\right)=e^{x/y}$ is homogenous of degree $n$. Also, find the value of $n$.

(b)

To determine

To Prove: That $x{f}_x\left(x,y\right)+y{f}_y\left(x,y\right)=nf\left(x,y\right)$ for the function $f\left(x,y\right)=e^{x/y}$.