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