\[ y'(x)=\frac {y(x) \left (x^7 y(x)^2+x^4 y(x)+x-3\right )}{x} \] ✓ Mathematica : cpu = 0.126372 (sec), leaf count = 101
\[\text {Solve}\left [-\frac {7}{3} \text {RootSum}\left [-7 \text {$\#$1}^3+6 \sqrt [3]{-7} \text {$\#$1}-7\& ,\frac {\log \left (\frac {3 x^6 y(x)+x^3}{\sqrt [3]{7} \sqrt [3]{-x^9}}-\text {$\#$1}\right )}{2 \sqrt [3]{-7}-7 \text {$\#$1}^2}\& \right ]=c_1+\frac {7^{2/3} \left (-x^9\right )^{2/3}}{9 x^5},y(x)\right ]\] ✓ Maple : cpu = 0.336 (sec), leaf count = 59
\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,{x}^{3}} \left ( \sqrt {3}\tan \left ( {\it RootOf} \left ( -\sqrt {3}\ln \left ( {\frac {9\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+9}{7\, \left ( 3\,\tan \left ( {\it \_Z} \right ) -\sqrt {3} \right ) ^{2}}} \right ) +3\,\sqrt {3}{\it \_C1}-2\,\sqrt {3}x-2\,{\it \_Z} \right ) \right ) -1 \right ) } \right \} \]