\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac { \left( y \left( x \right)  \right) ^{2}}{x}F \left( -{\frac {2\,y \left( x \right) \ln  \left( x \right) -1}{y \left( x \right) }} \right) }=0}
\]