second order systems have two independent energy storag elements. These circuits are governed by second order differential equations. Unlike first order circuits, the natural response of second order circuits can oscillate. This oscillation is due to energy exchanges between the two energy storage elements $($inductors and$/$or capacitor, in electrical circuits$).$ The oscillations will die out with time due to the energy dissipation elements$($ resistors, in electrical circuits$).$ The general differential equation can be derived using KVL $($ for a series RLC circuit$)$ or KCL $($for a parallel RLC$)$ and is of the form, where y$($t$)$ is a voltage or current of interest in the circuit and f$($t$)$ is the forcing functon. The solution consists of the homgeneous