\[ y'(x)=\frac {y(x)^2 \left (x^2 F\left (\frac {x^2-y(x)}{x^2 y(x)}\right )+2\right )}{x^3} \] ✓ Mathematica : cpu = 249.048 (sec), leaf count = 111
\[\text {Solve}\left [c_1=\int _1^{y(x)} \left (-\int _1^x \frac {2 F'\left (\frac {1}{K[2]}-\frac {1}{K[1]^2}\right )}{K[1]^3 K[2]^2 F\left (\frac {1}{K[2]}-\frac {1}{K[1]^2}\right )^2} \, dK[1]-\frac {1}{K[2]^2 F\left (\frac {1}{K[2]}-\frac {1}{x^2}\right )}\right ) \, dK[2]+\int _1^x \left (\frac {2}{K[1]^3 F\left (\frac {1}{y(x)}-\frac {1}{K[1]^2}\right )}+\frac {1}{K[1]}\right ) \, dK[1],y(x)\right ]\]
✓ Maple : cpu = 0.144 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{{\it RootOf} \left ( -\ln \left ( x \right ) -\int ^{{\it \_Z}}\! \left ( F \left ( {\it \_a} \right ) \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) {x}^{2}+1}} \right \} \]