1.3 plot the impulse and step responses of a system from its transfer function

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










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Matlab


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Maple

Using Maple DynamicSystems


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Using Laplace transform method:


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