How Do You Model a Second Order Linear Time Invariant System?

[davidcowling]

Homework Statement

Propose a Second order Model in the continuous time domain
Natural damping frequency of 0.6
Steady State gain of 2 units
Write down the corresponding differential equation


I have no idea where to begin with this, could someone help me with the process, then i will attempt to solve it and could someone then check it?

 

[Zryn]

What is a second order model?
What is a continuous time domain function?
What is a differential equation?

Have you looked at http://en.wikipedia.org/wiki/Damping" ?