\[ \boxed { {x}^{2} \left ( {x}^{2} \left ( y \left ( x \right ) \right ) ^{4}-1 \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+2\,{x}^{3} \left ( y \left ( x \right ) \right ) ^{3} \left ( \left ( y \left ( x \right ) \right ) ^{2}-{x}^{2} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2} \left ( {x}^{4} \left ( y \left ( x \right ) \right ) ^{2}-1 \right ) =0} \]
Mathematica: cpu = 60.566191 (sec), leaf count = 66 \[ \text {DSolve}\left [-\left (x^4 y(x)^2-1\right ) y(x)^2+x^2 \left (x^2 y(x)^4-1\right ) y'(x)^2+2 x^3 \left (y(x)^2-x^2\right ) y(x)^3 y'(x)=0,y(x),x\right ] \]
Maple: cpu = 2.730 (sec), leaf count = 0 \[ \text {could not solve} \]