\[ y'(x)=\frac {x^9 y(x)^3+x^6 y(x)^2-3 x^2 y(x)+1}{x^3} \] ✓ Mathematica : cpu = 0.139763 (sec), leaf count = 95
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 x^6 y(x)+x^3}{\sqrt [3]{29} \sqrt [3]{x^9}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {29^{2/3} \left (x^9\right )^{2/3}}{9 x^5}+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.106 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={\frac {-3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) }{9\,{x}^{3}}} \right \} \]