\[ y(x) \left (y(x)^3-2 x^3\right ) y'(x)+x \left (2 y(x)^3-x^3\right )=0 \] ✓ Mathematica : cpu = 0.0628881 (sec), leaf count = 133
\[\text {Solve}\left [7 c_1+\log \left (1-\frac {y(x)}{x}\right )=\text {RootSum}\left [\text {$\#$1}^4+\text {$\#$1}^3+3 \text {$\#$1}^2+\text {$\#$1}+1\& ,\frac {8 \text {$\#$1}^3 \log \left (\frac {y(x)}{x}-\text {$\#$1}\right )+9 \text {$\#$1}^2 \log \left (\frac {y(x)}{x}-\text {$\#$1}\right )+12 \text {$\#$1} \log \left (\frac {y(x)}{x}-\text {$\#$1}\right )-\log \left (\frac {y(x)}{x}-\text {$\#$1}\right )}{4 \text {$\#$1}^3+3 \text {$\#$1}^2+6 \text {$\#$1}+1}\& \right ]+7 \log (x),y(x)\right ]\]
✓ Maple : cpu = 0.665 (sec), leaf count = 124
\[ \left \{ {\frac {1}{7}\ln \left ( {\frac {y \left ( x \right ) -x}{x}} \right ) }-{\frac {2}{7}\ln \left ( {\frac {4\,{x}^{4}+4\,{x}^{3}y \left ( x \right ) +12\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+4\,x \left ( y \left ( x \right ) \right ) ^{3}+4\, \left ( y \left ( x \right ) \right ) ^{4}}{{x}^{4}}} \right ) }-{\frac {2\,\sqrt {3}}{7}\arctan \left ( {\frac { \left ( x+2\,y \left ( x \right ) \right ) \sqrt {3}}{3\,x}} \right ) }+{\frac {2\,\sqrt {3}}{7}\arctan \left ( {\frac {\sqrt {3} \left ( {x}^{3}+4\,{x}^{2}y \left ( x \right ) +2\,x \left ( y \left ( x \right ) \right ) ^{2}+2\, \left ( y \left ( x \right ) \right ) ^{3} \right ) }{3\,{x}^{3}}} \right ) }-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]