Hi romsek, thanks for getting back to me! Thank you for taking the time to write this out for me, however I cannot remember seeing anything like this is my classes! We have been dealing with differential equations, and from what I can gather I think the background knowledge related to circuits (for questions like this) is assumed knowledge. Are we able to set this up in the form of an ODE? We dealt with a simple series circuit before, and ended up coming out with a differential equation of:

$\frac{d^2I}{dt^2}+\frac{R}{L}\frac{dI}{dt}+\frac{ 1}{LC} = 0$

By using Kirchoff's Voltage Law.

As i said before though, thank you for taking the time to type that up

It seems you help me quite a bit in these forums!!