\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) = \left( \sin \left( x \right)  \right) ^{-1}+{\it \_F1} \left( y \left( x \right) -\ln  \left( \sin \left( x \right)  \right) +\ln  \left( \cos \left( x \right) +1 \right)  \right) =0}
\]