\[ y'(x)=\frac {y(x)}{x}-F(x) \left (y(x)^2-a x^2\right ) \] ✓ Mathematica : cpu = 0.152515 (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 = 0.056 (sec), leaf count = 22
\[y \relax (x ) = \tanh \left (\sqrt {a}\, \left (c_{1}+\int F \relax (x ) x d x \right )\right ) x \sqrt {a}\]