\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-2\,{x}^{3} \left ( y \left ( x \right ) \right ) ^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -4\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{3}=0} \]
Mathematica: cpu = 0.431555 (sec), leaf count = 143 \[ \left \{\text {Solve}\left [-\frac {x \sqrt {x^4 y(x)+4} y(x)^{3/2} \sinh ^{-1}\left (\frac {1}{2} x^2 \sqrt {y(x)}\right )}{2 \sqrt {x^2 y(x)^3 \left (x^4 y(x)+4\right )}}-\frac {1}{4} \log (y(x))=c_1,y(x)\right ],\text {Solve}\left [\frac {x y(x)^{3/2} \sqrt {x^4 y(x)+4} \sinh ^{-1}\left (\frac {1}{2} x^2 \sqrt {y(x)}\right )}{2 \sqrt {x^2 y(x)^3 \left (x^4 y(x)+4\right )}}-\frac {1}{4} \log (y(x))=c_1,y(x)\right ]\right \} \]
Maple: cpu = 0.671 (sec), leaf count = 131 \[ \left \{ y \left ( x \right ) =-4\,{x}^{-4},y \left ( x \right ) ={\frac { \left ( \sqrt {2}{x}^{2}{\it \_C1}-2 \right ) {{\it \_C1}}^{2}}{2\,{{ \it \_C1}}^{2}{x}^{4}-4}},y \left ( x \right ) =-{\frac { \left ( \sqrt { 2}{x}^{2}{\it \_C1}+2 \right ) {{\it \_C1}}^{2}}{2\,{{\it \_C1}}^{2}{x} ^{4}-4}},y \left ( x \right ) =-2\,{\frac {\sqrt {2}{x}^{2}{\it \_C1}-{{ \it \_C1}}^{2}}{{{\it \_C1}}^{2} \left ( -2\,{x}^{4}+{{\it \_C1}}^{2} \right ) }},y \left ( x \right ) =2\,{\frac {\sqrt {2}{x}^{2}{\it \_C1}+ {{\it \_C1}}^{2}}{{{\it \_C1}}^{2} \left ( -2\,{x}^{4}+{{\it \_C1}}^{2} \right ) }} \right \} \]