\[
\boxed{
{x}^{n}{\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( y \left( x \right)  \right) ^{2}- \left( n-1 \right) {x}^{n-1}y \left( x \right) +{x}^{2\,n-2}=0}
\]