\[ y'(x)=\frac {F(x (x y(x)-1))-2 x^3 y(x)+x^2}{x^4} \] ✓ Mathematica : cpu = 0.58307 (sec), leaf count = 177
\[\text {Solve}\left [\int _1^{y(x)}-\frac {x^2+F(x (x K[2]-1)) \int _1^x\left (\frac {2 K[2] F'(K[1] (K[1] K[2]-1)) K[1]^3}{F(K[1] (K[1] K[2]-1))^2}-\frac {F'(K[1] (K[1] K[2]-1)) K[1]^2}{F(K[1] (K[1] K[2]-1))^2}-\frac {2 K[1]}{F(K[1] (K[1] K[2]-1))}\right )dK[1]}{F(x (x K[2]-1))}dK[2]+\int _1^x\left (-\frac {2 K[1] y(x)}{F(K[1] (K[1] y(x)-1))}+\frac {1}{F(K[1] (K[1] y(x)-1))}+\frac {1}{K[1]^2}\right )dK[1]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.095 (sec), leaf count = 26
\[\left \{y \left (x \right ) = \frac {x +\RootOf \left (c_{1} x +x \left (\int _{}^{\textit {\_Z}}\frac {1}{F \left (\textit {\_a} \right )}d \textit {\_a} \right )+1\right )}{x^{2}}\right \}\]