RLC Circuit ODE EXPLAINED

In this video, I use manim to illustrate the solution of a second order linear non-homogeneous differential equation. Using an RLC Series circuit, I derive the ODE and then use variation of parameters to come up with the general solution of an example problem.

[@albertohart5334]

We much prefer the use of Laplace transforms…

[@thedoubleeguy]

That's true, depends on the situation...😅

[@albertohart5334]

@@thedoubleeguy I mean Laplace transforms are lowkey just shortcutted differential equations. Like if you didn’t have a transform table you’d just be doing differential equations anyway. But in most circuit analysis I’ve seen as a third year electrical student we prefer Laplace.

[@thedoubleeguy]

@@albertohart5334 You're correct, using the Laplace transform is another valid and often more common way to solve this type of problem especially in the electrical engineering field. I just decided to use variation of parameters for this specific problem in order to demonstrate the concept.