\[ y'(x)=\frac {y(x)}{x}-F(x) \left (y(x)^2-a x^2\right ) \] ✓ Mathematica : cpu = 0.171068 (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 = 0.055 (sec), leaf count = 22
\[\left \{y \left (x \right ) = \sqrt {a}\, x \tanh \left (\left (c_{1}+\int x F \left (x \right )d x \right ) \sqrt {a}\right )\right \}\]