2.1908   ODE No. 1908

{x(t)=6x(t)72y(t)+44z(t),y(t)=4x(t)4y(t)+26z(t),z(t)=6x(t)63y(t)+38z(t)}

Mathematica : cpu = 0.0373917 (sec), leaf count = 551

DSolve[{Derivative[1][x][t] == 6*x[t] - 72*y[t] + 44*z[t], Derivative[1][y][t] == 4*x[t] - 4*y[t] + 26*z[t], Derivative[1][z][t] == 6*x[t] - 63*y[t] + 38*z[t]},{x[t], y[t], z[t]},t]
 
{{x(t)36c2RootSum[#1340#12+1714#1+1404&,2#1e#1t+e#1t3#1280#1+1714&]+4c3RootSum[#1340#12+1714#1+1404&,11#1e#1t424e#1t3#1280#1+1714&]+c1RootSum[#1340#12+1714#1+1404&,#12e#1t34#1e#1t+1486e#1t3#1280#1+1714&],y(t)4c1RootSum[#1340#12+1714#1+1404&,#1e#1t+e#1t3#1280#1+1714&]+2c3RootSum[#1340#12+1714#1+1404&,13#1e#1t+10e#1t3#1280#1+1714&]+c2RootSum[#1340#12+1714#1+1404&,#12e#1t44#1e#1t36e#1t3#1280#1+1714&],z(t)6c1RootSum[#1340#12+1714#1+1404&,#1e#1t38e#1t3#1280#1+1714&]9c2RootSum[#1340#12+1714#1+1404&,7#1e#1t+6e#1t3#1280#1+1714&]+c3RootSum[#1340#12+1714#1+1404&,#12e#1t2#1e#1t+264e#1t3#1280#1+1714&]}}

Maple : cpu = 0.349 (sec), leaf count = 1145

dsolve({diff(x(t),t) = 6*x(t)-72*y(t)+44*z(t), diff(y(t),t) = 4*x(t)-4*y(t)+26*z(t), diff(z(t),t) = 6*x(t)-63*y(t)+38*z(t)})
 
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