\[ \boxed { \left ( {x}^{n \left ( n+1 \right ) }y \left ( x \right ) -1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\, \left ( n+1 \right ) ^{2}{x}^{n-1} \left ( {x}^{{n}^{2}} \left ( y \left ( x \right ) \right ) ^{2}-1 \right ) =0} \]
Mathematica: cpu = 407.590757 (sec), leaf count = 48 \[ \text {DSolve}\left [2 (n+1)^2 x^{n-1} \left (x^{n^2} y(x)^2-1\right )+\left (x^{n (n+1)} y(x)-1\right ) y'(x)=0,y(x),x\right ] \]
Maple: cpu = 4.680 (sec), leaf count = 0 \[ \text {could not solve} \]