\[ y'(x)=\frac {y(x)}{x}-F(x) \left (-x^3-7 x y(x)^2\right ) \] ✓ Mathematica : cpu = 0.129916 (sec), leaf count = 43
\[\left \{\left \{y(x)\to \frac {x \tan \left (\sqrt {7} \int _1^xF(K[1]) K[1]^2dK[1]+\sqrt {7} c_1\right )}{\sqrt {7}}\right \}\right \}\] ✓ Maple : cpu = 0.04 (sec), leaf count = 25
\[y \relax (x ) = \frac {\tan \left (\left (\int F \relax (x ) x^{2}d x +c_{1}\right ) \sqrt {7}\right ) x \sqrt {7}}{7}\]