2.1864   ODE No. 1864

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

\[ \left \{x'(t)=-5 x(t)-2 y(t),y'(t)=x(t)-7 y(t)\right \} \] Mathematica : cpu = 0.0126829 (sec), leaf count = 59

\[\left \{\left \{x(t)\to c_1 e^{-6 t} (\sin (t)+\cos (t))-2 c_2 e^{-6 t} \sin (t),y(t)\to c_1 e^{-6 t} \sin (t)+c_2 e^{-6 t} (\cos (t)-\sin (t))\right \}\right \}\]

Maple : cpu = 0.038 (sec), leaf count = 48

\[ \left \{ \left \{ x \left ( t \right ) ={{\rm e}^{-6\,t}} \left ( \cos \left ( t \right ) {\it \_C2}+\sin \left ( t \right ) {\it \_C1} \right ) ,y \left ( t \right ) =-{\frac {{{\rm e}^{-6\,t}} \left ( \cos \left ( t \right ) {\it \_C1}-\cos \left ( t \right ) {\it \_C2}-\sin \left ( t \right ) {\it \_C1}-\sin \left ( t \right ) {\it \_C2} \right ) }{2}} \right \} \right \} \]