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{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)→e−ita2+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(c2−c3)a2+b2+c2(−1+e2ita2+b2+c2)+2a3c1eita2+b2+c2)2a(a2+b2+c2),y(t)→e−ita2+b2+c2(a2(−b)(c1(−1+eita2+b2+c2)2−c2(1+e2ita2+b2+c2))+iac(c1−c3)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)→e−ita2+b2+c2(a2(−c)(c1(−1+eita2+b2+c2)2−c3(1+e2ita2+b2+c2))−iab(c1−c2)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)b−a2+b2+c2ac(sin(a2+b2+c2t)_C3−cos(a2+b2+c2t)_C2)),z(t)=1(b2+c2)c(a2+b2+c2sin(a2+b2+c2t)_C3ab−a2+b2+c2cos(a2+b2+c2t)_C2ab−sin(a2+b2+c2t)_C2a2c−cos(a2+b2+c2t)_C3a2c+_C1b2c+_C1c3)}}
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