\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}- \left ( \left ( y \left ( x \right ) \right ) ^{4}+x \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2} \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( x \left ( y \left ( x \right ) \right ) ^{6}+{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+{x}^{3} \left ( y \left ( x \right ) \right ) ^{2} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{3} \left ( y \left ( x \right ) \right ) ^{6}=0} \]
Mathematica: cpu = 73.501334 (sec), leaf count = 72 \[ \text {DSolve}\left [-x^3 y(x)^6-\left (x^2+y(x)^4+x y(x)^2\right ) y'(x)^2+\left (x^3 y(x)^2+x^2 y(x)^4+x y(x)^6\right ) y'(x)+y'(x)^2=0,y(x),x\right ] \]
Maple: cpu = 1.935 (sec), leaf count = 0 \[ \text {could not solve} \]