\[ y'(x)=\frac {x^6 y(x)^3-3 x^5 y(x)^2+x^4 y(x)^2+3 x^4 y(x)-4 x^3 y(x)-x^3+2 x^2+1}{x^4} \] ✓ Mathematica : cpu = 0.196385 (sec), leaf count = 82
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 x^2 y(x)-3 x+1}{\sqrt [3]{29}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=-\frac {29^{2/3}}{9 x}+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.027 (sec), leaf count = 42
\[y \relax (x ) = \frac {9 x -3+29 \RootOf \left (-81 \left (\int _{}^{\textit {\_Z}}\frac {1}{841 \textit {\_a}^{3}-27 \textit {\_a} +27}d \textit {\_a} \right ) x +3 x c_{1}-1\right )}{9 x^{2}}\]