\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-F \left ( x \right ) \left ( -a \left ( y \left ( x \right ) \right ) ^{2}-b{x}^{2} \right ) +{\frac {y \left ( x \right ) }{x}}=0} \]
Mathematica: cpu = 0.103513 (sec), leaf count = 55 \[ \left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^x K[1] F(K[1]) \, dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={\frac {x}{a}\tan \left ( \int \!F \left ( x \right ) x\,{\rm d}x\sqrt {ab}+{\it \_C1}\,\sqrt {ab} \right ) \sqrt { ab}} \right \} \]