\[ y'(x)=\frac {F\left (x^2+y(x)-x\right )-2 x^2+x}{x} \] ✓ Mathematica : cpu = 0.254841 (sec), leaf count = 156
\[\text {Solve}\left [\int _1^{y(x)}-\frac {F\left (x^2-x+K[2]\right ) \int _1^x\left (\frac {2 K[1] F'\left (K[1]^2-K[1]+K[2]\right )}{F\left (K[1]^2-K[1]+K[2]\right )^2}-\frac {F'\left (K[1]^2-K[1]+K[2]\right )}{F\left (K[1]^2-K[1]+K[2]\right )^2}\right )dK[1]+1}{F\left (x^2-x+K[2]\right )}dK[2]+\int _1^x\left (-\frac {2 K[1]}{F\left (K[1]^2-K[1]+y(x)\right )}+\frac {1}{F\left (K[1]^2-K[1]+y(x)\right )}+\frac {1}{K[1]}\right )dK[1]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.194 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) =-{x}^{2}+{\it RootOf} \left ( -\ln \left ( x \right ) +\int ^{{\it \_Z}}\! \left ( F \left ( {\it \_a} \right ) \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) +x \right \} \]