\[
\boxed{
 \left( a \left( \sin \left( x \right)  \right) ^{2}+b \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +ay \left( x \right) \sin \left( 2\,x \right) +Ax \left( a \left( \sin \left( x \right)  \right) ^{2}+c \right) =0}
\]