\[ y'(x)=\frac {y(x)}{x}-F(x) \left (y(x)^2-a x^2\right ) \] ✓ Mathematica : cpu = 0.155928 (sec), leaf count = 41
\[\left \{\left \{y(x)\to \sqrt {a} x \tanh \left (\sqrt {a} \int _1^xF(K[1]) K[1]dK[1]+\sqrt {a} c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.235 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) =\tanh \left ( \sqrt {a} \left ( {\it \_C1}+\int \!F \left ( x \right ) x\,{\rm d}x \right ) \right ) x\sqrt {a} \right \} \]