\[ y'(x)=\frac {x^6-3 x^5+3 x^4 y(x)+x^4-6 x^3 y(x)+2 x^3+3 x^2 y(x)^2+x^2 y(x)-3 x^2-3 x y(x)^2+x y(x)+y(x)^3+x}{x \left (x^2+y(x)-x+1\right )} \] ✓ Mathematica : cpu = 0.02337 (sec), leaf count = 55
\[\left \{\left \{y(x)\to \frac {1}{\sqrt {c_1-2 \log (x)}-1}-x^2+x\right \},\left \{y(x)\to -\frac {1}{\sqrt {c_1-2 \log (x)}+1}-x^2+x\right \}\right \}\]
✓ Maple : cpu = 0.058 (sec), leaf count = 81
\[ \left \{ y \left ( x \right ) ={1 \left ( \left ( -{x}^{2}+x \right ) \sqrt {{\it \_C1}-2\,\ln \left ( x \right ) }-{x}^{2}+x-1 \right ) \left ( 1+\sqrt {{\it \_C1}-2\,\ln \left ( x \right ) } \right ) ^{-1}},y \left ( x \right ) ={1 \left ( \left ( -{x}^{2}+x \right ) \sqrt {{\it \_C1}-2\,\ln \left ( x \right ) }+{x}^{2}-x+1 \right ) \left ( -1+\sqrt {{\it \_C1}-2\,\ln \left ( x \right ) } \right ) ^{-1}} \right \} \]