\[
\boxed{
 \left\{ {t}^{2} \left( 1-\sin \left( t \right)  \right) {\frac {\rm d}{{\rm d}t}}x \left( t \right) =t \left( 1-2\,\sin \left( t \right)  \right) x \left( t \right) +{t}^{2}y \left( t \right) ,{t}^{2} \left( 1-\sin \left( t \right)  \right) {\frac {\rm d}{{\rm d}t}}y \left( t \right) = \left( t\cos \left( t \right) -\sin \left( t \right)  \right) x \left( t \right) +t \left( 1-t\cos \left( t \right)  \right) y \left( t \right)  \right\} }
\]