\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {1}{x} \left ( y \left ( x \right ) +F \left ( {\frac {y \left ( x \right ) }{x}} \right ) {x}^{2} \right ) }=0} \]
Mathematica: cpu = 0.062508 (sec), leaf count = 24 \[ \text {Solve}\left [\int _1^{\frac {y(x)}{x}} \frac {1}{F(K[1])} \, dK[1]=c_1+x,y(x)\right ] \]
Maple: cpu = 0.016 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( x-\int ^{{\it \_Z}}\! \left ( F \left ( {\it \_a} \right ) \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) x \right \} \]