Hi I have been assigned by my professor an assignment but I cannot figure out how to use Dsolve and matripexp correctly to solve the problem. I understand the problems and know that its a third ODE but I just don’t have much experience with Mathematica. I have attached the problem and what I have gotten so far. Any help is greatly appreciated thanks.
Please see this article on how to use the results of DSolve and related function. Please see this article on this subject : http://support.wolfram.com/kb/3825
Your notebook uses NDSolve. Use DSolve instead for simple equations like this.
Clear["Global`*"]
Vs[t_] = 5 UnitStep[t];
R1 = R2 = R3 = 0.1; c = 1;
eqn1 = (Vs[t] - Vc1[t])/R1 == c*Vc1'[t];
eqn2 = (Vc1[t] - Vc2[t])/R2 == c*Vc2'[t];
eqn3 = (Vc2[t] - Vc3[t])/R3 == c*Vc3'[t];
sol1 = DSolve[{eqn1, Vc1[0] == 0}, Vc1[t], t]
Vc1[t_] = Vc1[t] /. First@sol1
sol2 = DSolve[{eqn2, Vc2[0] == 0}, Vc2[t], t]