Time Responses from TF too?

(Uses Matlab): step, impulse

Yes, Matlab ver 5 can display graphical time responses rather easily.

From Sample1:

For TF v₁ / v_i,

EDU>> TF(1,1)

Transfer function:
s^2 + 2 s + 1000
---------------------------------------
s^3 + 3 s^2 + 3002 s + 5000

To create step response use,

EDU>> step(TF(1,1))

Impulse response of v₂ / i_s,

EDU>> impulse(TF(2,2))

For (Sample 2):

Lets execute the following script, note the damping constant, b=1

b=1;
A=[0,1,0; -3,0,2; 2/b,0,-2/b];
B=[0;1;0];
C=[1,0,0];
D=0;
sys = ss(A,B,C,D);
step(tf(sys))