Problem: Find the impulse and step responses for the continuous time system deﬁned by the transfer function \[ H\relax (s) =\frac {1}{s^{2}+0.2s+1}\] and display these on the same plot up to some \(t\) value.
Side note: It was easier to see the analytical form of the responses in Mathematica and Maple so it is given below the plot.
Mathematica






Matlab


Maple Using Maple DynamicSystems


Using Laplace transform method:

