\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {2\,x\sin \left( x \right) -\ln  \left( 2\,x \right) +\ln  \left( 2\,x \right) {x}^{4}-2\,\ln  \left( 2\,x \right) {x}^{2}y \left( x \right) +\ln  \left( 2\,x \right)  \left( y \left( x \right)  \right) ^{2}}{\sin \left( x \right) }}=0}
\]