\[ y'(x)=\frac {F\left (-\frac {2 x^3}{5}+y(x)-2 \sqrt {x}\right )+\frac {6 x^3}{5}+\sqrt {x}}{x} \] ✗ Mathematica : cpu = 300. (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.204 (sec), leaf count = 33
\[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\! \left ( F \left ( {\it \_a}-{\frac {2\,{x}^{3}}{5}}-2\,\sqrt {x} \right ) \right ) ^{-1}\,{\rm d}{\it \_a}-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]