\[ y'(x)=\frac {x^3 F\left (\frac {y(x)}{x^2}\right )+2 y(x)}{x} \] ✓ Mathematica : cpu = 0.267311 (sec), leaf count = 121
\[\text {Solve}\left [\int _1^{y(x)}-\frac {F\left (\frac {K[2]}{x^2}\right ) \int _1^x\left (\frac {2}{F\left (\frac {K[2]}{K[1]^2}\right ) K[1]^3}-\frac {2 K[2] F'\left (\frac {K[2]}{K[1]^2}\right )}{F\left (\frac {K[2]}{K[1]^2}\right )^2 K[1]^5}\right )dK[1] x^2+1}{x^2 F\left (\frac {K[2]}{x^2}\right )}dK[2]+\int _1^x\left (\frac {2 y(x)}{F\left (\frac {y(x)}{K[1]^2}\right ) K[1]^3}+1\right )dK[1]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.096 (sec), leaf count = 22
\[\left \{y \left (x \right ) = x^{2} \RootOf \left (c_{1}-x +\int _{}^{\textit {\_Z}}\frac {1}{F \left (\textit {\_a} \right )}d \textit {\_a} \right )\right \}\]