ODE No. 1889

2.1889 ODE No. 1889

Problem in Latex
Mathematica input
Maple input

${x^{″} (t) + x (t) + y (t) = - 5, - 4 x (t) + y^{″} (t) - 3 y (t) = - 3}$ ✓ Mathematica : cpu = 0.11181 (sec), leaf count = 151

${{x (t) \to \frac{1}{4} e^{- t} (2 c_{1} (t + 1) - 2 c_{2} t + c_{3} t - c_{4} t + e^{2 t} (- 2 c_{1} (t - 1) - 2 c_{2} (t - 2) - c_{3} t - c_{4} t + c_{4}) - 4 c_{2} - c_{4} + 72 e^{t}), y (t) \to \frac{1}{2} e^{- t} ((- 2 c_{1} + 2 c_{2} - c_{3} + c_{4}) t + e^{2 t} ((2 c_{1} + 2 c_{2} + c_{3} + c_{4}) t - 2 c_{2} + c_{3}) + 2 c_{2} + c_{3} - 46 e^{t})}}$

✓ Maple : cpu = 0.049 (sec), leaf count = 60

${{x (t) = (_C 4 t +_C 2) e^{- t} + 18 + (_C 3 t +_C 1) e^{t}, y (t) = ((- 2 t + 2)_C 4 - 2_C 2) e^{- t} - 23 + ((- 2 t - 2)_C 3 - 2_C 1) e^{t}}}$

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