\[ \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \left (\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3-2 \text {Global$\grave { }$x}^3\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \left (2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3-\text {Global$\grave { }$x}^3\right )=0 \] ✓ Mathematica : cpu = 0.0490209 (sec), leaf count = 139
\[\text {Solve}\left [\frac {1}{7} \text {RootSum}\left [\text {$\#$1}^4+\text {$\#$1}^3+3 \text {$\#$1}^2+\text {$\#$1}+1\& ,\frac {8 \text {$\#$1}^3 \log \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}-\text {$\#$1}\right )+9 \text {$\#$1}^2 \log \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}-\text {$\#$1}\right )+12 \text {$\#$1} \log \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}-\text {$\#$1}\right )-\log \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}-\text {$\#$1}\right )}{4 \text {$\#$1}^3+3 \text {$\#$1}^2+6 \text {$\#$1}+1}\& \right ]-\frac {1}{7} \log \left (1-\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )=c_1-\log (\text {Global$\grave { }$x}),\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.532 (sec), leaf count = 120
\[ \left \{ {\frac {1}{7}\ln \left ( -{\frac {x-y \left ( x \right ) }{x}} \right ) }-{\frac {2}{7}\ln \left ( 4\,{\frac {{x}^{4}+{x}^{3}y \left ( x \right ) +3\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+x \left ( y \left ( x \right ) \right ) ^{3}+ \left ( y \left ( x \right ) \right ) ^{4}}{{x}^{4}}} \right ) }+{\frac {2\,\sqrt {3}}{7}\arctan \left ( {\frac {\sqrt {3} \left ( {x}^{3}+4\,{x}^{2}y \left ( x \right ) +2\,x \left ( y \left ( x \right ) \right ) ^{2}+2\, \left ( y \left ( x \right ) \right ) ^{3} \right ) }{3\,{x}^{3}}} \right ) }-{\frac {2\,\sqrt {3}}{7}\arctan \left ( {\frac { \left ( x+2\,y \left ( x \right ) \right ) \sqrt {3}}{3\,x}} \right ) }-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]