10.34   ODE No. 1889

{d2dt2x(t)+x(t)+y(t)=5,d2dt2y(t)4x(t)3y(t)=3}

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

Mathematica: cpu = 0.103513 (sec), leaf count = 554 {{x(t)14c4et(e2tt+te2t+1)12c1et(e2ttte2t1)12c2et(e2tt+t2e2t+2)14c3et(e2t1)t18et(et(13t10)+et(1013t))(e2tt+te2t+1)18et(e2t1)t(et(13t23)+et(13t23))18et(e2tt+t2e2t+2)(et(13t23)+et(13t+23))18et(e2ttte2t1)(et(3613t)+et(13t+36)),y(t)c1et(e2t1)t+12c4et(e2t+1)t+c2et(e2tt+te2t+1)+12c3et(e2ttt+e2t+1)+14et(e2t+1)(et(13t10)+et(1013t))t+14et(e2t1)(et(3613t)+et(13t+36))t+14et(e2ttt+e2t+1)(et(13t23)+et(13t23))+14et(e2tt+te2t+1)(et(13t23)+et(13t+23))}}

Maple: cpu = 0.032 (sec), leaf count = 72 {{x(t)=18+_C1et+_C2et+_C3ett+_C4ett,y(t)=2_C1et2_C2et2_C3ett2_C3et2_C4ett+2_C4et23}}