Hello, I'm having problems understanding the solution given by Mathematica for an ODE system with 3 equations and 3 unkwnows, initial conditions well specified.
DSolve[{i[t] == Cr vc'[t],
vc[t] == vco[t] (1 + m) - Lr i'[t], -(1 + m) i[t] - vco[t]/RL ==
Co vco'[t] , vc[0] == Vcrmax, i[0] == 0, vco[0] == Vo}, {i[t],
vc[t], vco[t]}, t]
The unknowns are i[t], vc[t], vco[t] (yes...it's an electrical system :). The solution given is way too long to be posted here. For example, it includes, in i[t]:
i[t] -> Co Cr RL Vo RootSum[
Co^2 Cr^2 Lr^2 RL^2 + Co^2 Cr Lr RL^2 #1 + Co Cr^2 Lr RL^2 #1 +
2 Co Cr^2 Lr m RL^2 #1 + Co Cr^2 Lr m^2 RL^2 #1 +
Cr Lr #1^2 + #1^3 &, (E^((t #1)/(Co Cr Lr RL)) #1)/(
Co^2 Cr Lr RL^2 + Co Cr^2 Lr RL^2 + 2 Co Cr^2 Lr m RL^2 +
Co Cr^2 Lr m^2 RL^2 + 2 Cr Lr #1 + 3 #1^2) &] + ........
What's going on?
