\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) \left ( -3\,{x}^{3}y \left ( x \right ) -3+ \left ( y \left ( x \right ) \right ) ^{2}{x}^{7} \right ) }{x \left ( {x}^{3}y \left ( x \right ) +1 \right ) }}=0} \]
Mathematica: cpu = 0.013502 (sec), leaf count = 72 \[ \left \{\left \{y(x)\to \frac {x}{\frac {\sqrt {x \left (c_1-2 x\right )+x}}{\sqrt {\frac {1}{x^7}}}-x^4}\right \},\left \{y(x)\to -\frac {x}{\frac {\sqrt {x \left (c_1-2 x\right )+x}}{\sqrt {\frac {1}{x^7}}}+x^4}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{3}} \left ( \sqrt {{\it \_C1}-2\,x}-1 \right ) ^{-1}},y \left ( x \right ) =-{\frac {1}{{x}^{3}} \left ( \sqrt {{\it \_C1}-2\,x}+1 \right ) ^{-1}} \right \} \]