\[ y'(x)=\frac {2 x^3 y(x)+x^2 y(x)^2+x^6+y(x)^3}{x^4} \] ✓ Mathematica : cpu = 0.144457 (sec), leaf count = 95
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {\frac {3 y(x)}{x^4}+\frac {1}{x^2}}{\sqrt [3]{29} \sqrt [3]{\frac {1}{x^6}}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {1}{9} 29^{2/3} \left (\frac {1}{x^6}\right )^{2/3} x^5+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.112 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={\frac { \left ( -3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) {x}^{2}}{9}} \right \} \]