Simplify Zero Input Response?

As RJFJR noted, this article is written at a fairly high level- I imagine most students are going to encounter RLCs before they do any differential equations- so I'm working on reworking this part of the article to use the cheating workaround that I've seen in classes, where you just sort of say "I(t) = Ae^kt, because it should, now let's solve for k- now we've got α" That way all we're assuming is high school algebra, simple trig, and De Moivre's Thereom.

I'm also considering adding a part that would describe a steady-state solution with a driving voltage. My biggest worry is that this article will end up being very incongruous, but I think it's preferable so long as the first part is as transparent as possible.