\[
\boxed{
 \left( x{\frac {\rm d}{{\rm d}x}}y \left( x \right) -y \left( x \right)  \right) ^{n}f \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) +y \left( x \right) g \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) +xh \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) =0}
\]