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10.37   ODE No. 1892

{d2dt2x(t)−addty(t)+bx(t)=0,d2dt2y(t)+addtx(t)+by(t)=0}

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

Mathematica: cpu = 0.370547 (sec), leaf count = 4815 {{x(t)→e−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(e−a2−2b−a2(a2+4b)t2a2−e−a2−2b+a2(a2+4b)t2a2−e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2a2+e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)ta2+a2(a2+4b)e−a2−2b−a2(a2+4b)t2+a2(a2+4b)e−a2−2b+a2(a2+4b)t2+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2+a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c14a2(a2+4b)+e−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2a2−−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2a2+−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2a2−−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)ta2−a2(a2+4b)−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2−a2(a2+4b)−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2+a2(a2+4b)−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2+a2(a2+4b)−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c222a2(a2+4b)−a2−2b−a2(a2+4b)−a2−2b+a2(a2+4b)−abe−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−e−a2−2b−a2(a2+4b)t2−a2−2b−a2(a2+4b)+e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t−a2−2b−a2(a2+4b)+−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2−−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2)c32a2(a2+4b)−a2−2b−a2(a2+4b)−a2−2b+a2(a2+4b)−ae−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−e−a2−2b−a2(a2+4b)t2+e−a2−2b+a2(a2+4b)t2+e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2−e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c42a2(a2+4b),y(t)→abe−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−e−a2−2b−a2(a2+4b)t2−a2−2b−a2(a2+4b)+e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t−a2−2b−a2(a2+4b)+−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2−−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2)c12a2(a2+4b)−a2−2b−a2(a2+4b)−a2−2b+a2(a2+4b)+ae−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−e−a2−2b−a2(a2+4b)t2+e−a2−2b+a2(a2+4b)t2+e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2−e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c22a2(a2+4b)+e−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(e−a2−2b−a2(a2+4b)t2a2−e−a2−2b+a2(a2+4b)t2a2−e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2a2+e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)ta2+a2(a2+4b)e−a2−2b−a2(a2+4b)t2+a2(a2+4b)e−a2−2b+a2(a2+4b)t2+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2+a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c34a2(a2+4b)+e−−a2−2b−a2(a2+4b)t2−−a2−2b+a2(a2+4b)t2(−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2a2−−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2a2+−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2a2−−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)ta2−a2(a2+4b)−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2−a2(a2+4b)−a2−2b+a2(a2+4b)e−a2−2b+a2(a2+4b)t2+a2(a2+4b)−a2−2b+a2(a2+4b)e2−a2−2b−a2(a2+4b)t+−a2−2b+a2(a2+4b)t2+a2(a2+4b)−a2−2b−a2(a2+4b)e−a2−2b−a2(a2+4b)t2+2−a2−2b+a2(a2+4b)t)c422a2(a2+4b)−a2−2b−a2(a2+4b)−a2−2b+a2(a2+4b)}}

Maple: cpu = 0.094 (sec), leaf count = 868 {{x(t)=_C1e−t2−2a2−2a2(a2+4b)−4b+_C2et2−2a2−2a2(a2+4b)−4b+_C3e−t2−2a2+2a2(a2+4b)−4b+_C4et2−2a2+2a2(a2+4b)−4b,y(t)=−18ab(_C4(−2a2+2a2(a2+4b)−4b)32et2−2a2+2a2(a2+4b)−4b+4e1/2−2a2+2a2(a2+4b)−4bt−2a2+2a2(a2+4b)−4b_C4a2−_C1(−2a2−2a2(a2+4b)−4b)32e−t2−2a2−2a2(a2+4b)−4b−4e−1/2−2a2−2a2(a2+4b)−4bt−2a2−2a2(a2+4b)−4b_C1a2+_C2(−2a2−2a2(a2+4b)−4b)32et2−2a2−2a2(a2+4b)−4b+4e1/2−2a2−2a2(a2+4b)−4bt−2a2−2a2(a2+4b)−4b_C2a2−_C3(−2a2+2a2(a2+4b)−4b)32e−t2−2a2+2a2(a2+4b)−4b−4e−1/2−2a2+2a2(a2+4b)−4bt−2a2+2a2(a2+4b)−4b_C3a2+4e1/2−2a2+2a2(a2+4b)−4bt−2a2+2a2(a2+4b)−4b_C4b−4e−1/2−2a2−2a2(a2+4b)−4bt−2a2−2a2(a2+4b)−4b_C1b+4e1/2−2a2−2a2(a2+4b)−4bt−2a2−2a2(a2+4b)−4b_C2b−4e−1/2−2a2+2a2(a2+4b)−4bt−2a2+2a2(a2+4b)−4b_C3b)}}

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