2 How to show both the impulse and step responses of an LTI from its transfer function on the same plot?

Problem: Find the impulse and step responses for the continuos time system defined by the transfer function

$$H\left( s\right) =\frac{1}{s^{2}+0.2s+1}%$$

and display these on the same plot up to some $t$ value.

Comment: It is easier to see the analytical form of the responses in Mathematica in the form of a formula as a function of time and not just the plot of the responses.