11.15   ODE No. 1927

\[ \boxed { \left \{ {\frac {{\rm d}^{2}}{{\rm d}{t}^{2}}}x \left ( t \right ) =a{{\rm e}^{2\,x \left ( t \right ) }}-{{\rm e}^{-x \left ( t \right ) }}+{{\rm e}^{-2\,x \left ( t \right ) }} \left ( \cos \left ( y \left ( t \right ) \right ) \right ) ^{2},{\frac {{\rm d}^{2}}{{\rm d}{t}^{2}}}y \left ( t \right ) ={{\rm e}^{-2\,x \left ( t \right ) }}\sin \left ( y \left ( t \right ) \right ) \cos \left ( y \left ( t \right ) \right ) -{\frac {\sin \left ( y \left ( t \right ) \right ) }{ \left ( \cos \left ( y \left ( t \right ) \right ) \right ) ^{3}}} \right \} } \]

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]

Maple: cpu = 0 (sec), leaf count = 0 \[ \text {hanged} \]