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 = 0.0102639 (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 = 0.051 (sec), leaf count = 44

\[\left \{\left \{x \left (t \right ) = \left (c_{1} \sin \left (t \right )+c_{2} \cos \left (t \right )\right ) {\mathrm e}^{-6 t}, y \left (t \right ) = -\frac {\left (\left (c_{1}-c_{2}\right ) \cos \left (t \right )-\left (c_{1}+c_{2}\right ) \sin \left (t \right )\right ) {\mathrm e}^{-6 t}}{2}\right \}\right \}\]