2.1903   ODE No. 1903

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

{ax(t)=bc(y(t)z(t)),by(t)=ac(z(t)x(t)),cz(t)=ab(x(t)y(t))} Mathematica : cpu = 0.0898444 (sec), leaf count = 741

{{x(t)eita2+b2+c2(a(b2(c1(1+e2ita2+b2+c2)c2(1+eita2+b2+c2)2)+c2(c1(1+e2ita2+b2+c2)c3(1+eita2+b2+c2)2))ibc(c2c3)a2+b2+c2(1+e2ita2+b2+c2)+2a3c1eita2+b2+c2)2a(a2+b2+c2),y(t)eita2+b2+c2(a2(b)(c1(1+eita2+b2+c2)2c2(1+e2ita2+b2+c2))+iac(c1c3)a2+b2+c2(1+e2ita2+b2+c2)+b(2b2c2eita2+b2+c2+c2(c2(1+e2ita2+b2+c2)c3(1+eita2+b2+c2)2)))2b(a2+b2+c2),z(t)eita2+b2+c2(a2(c)(c1(1+eita2+b2+c2)2c3(1+e2ita2+b2+c2))iab(c1c2)a2+b2+c2(1+e2ita2+b2+c2)+c(b2(c3(1+e2ita2+b2+c2)c2(1+eita2+b2+c2)2)+2c2c3eita2+b2+c2))2c(a2+b2+c2)}}

Maple : cpu = 0.155 (sec), leaf count = 299

{{x(t)=_C1+_C2sin(a2+b2+c2t)+_C3cos(a2+b2+c2t),y(t)=1b(b2+c2)(_C1b3+((_C2sin(a2+b2+c2t)_C3cos(a2+b2+c2t))a2+c2_C1)ba2+b2+c2ac(sin(a2+b2+c2t)_C3cos(a2+b2+c2t)_C2)),z(t)=1(b2+c2)c(a2+b2+c2sin(a2+b2+c2t)_C3aba2+b2+c2cos(a2+b2+c2t)_C2absin(a2+b2+c2t)_C2a2ccos(a2+b2+c2t)_C3a2c+_C1b2c+_C1c3)}}