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