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{x″(t)+x(t)+y(t)=−5,−4x(t)+y″(t)−3y(t)=−3} ✓ Mathematica : cpu = 0.233183 (sec), leaf count = 554
{{x(t)→−18e−t(e−t(−13t−10)+et(10−13t))(e2tt+t−e2t+1)−18e−t(e2t−1)t(e−t(−13t−23)+et(13t−23))−18e−t(e2tt+t−2e2t+2)(et(13t−23)+e−t(13t+23))−18e−t(e2tt−t−e2t−1)(et(36−13t)+e−t(13t+36))−14c4e−t(e2tt+t−e2t+1)−12c1e−t(e2tt−t−e2t−1)−12c2e−t(e2tt+t−2e2t+2)−14c3e−t(e2t−1)t,y(t)→14e−t(e2t+1)(e−t(−13t−10)+et(10−13t))t+14e−t(e2t−1)(et(36−13t)+e−t(13t+36))t+14e−t(e2tt−t+e2t+1)(e−t(−13t−23)+et(13t−23))+14e−t(e2tt+t−e2t+1)(et(13t−23)+e−t(13t+23))+c1e−t(e2t−1)t+12c4e−t(e2t+1)t+c2e−t(e2tt+t−e2t+1)+12c3e−t(e2tt−t+e2t+1)}} ✓ Maple : cpu = 0.065 (sec), leaf count = 60
{{x(t)=(c3t+c1)et+(c4t+c2)e−t+18,y(t)=(−2c1+c3(−2t−2))et+(−2c2+c4(−2t+2))e−t−23}}
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