I'm just starting a differential equations class and so far I am completely lost with these application problems. Specifically, in this one problem asks to find a differential equation for the current of a circuit. The problem:
Determine a differential equation for the current $i(t)$ if the resistance is $R$, the inductance is $L$, and the impressed voltage is $E(t)$.
The examples in the book mention using Kirchoff's second law, which the book defines as "the impressed voltage $E(t)$ on a closed loop must equal the sum of the voltage drops in the loop." But the book does not give an example of how to set up a DE using this law so I'm pretty lost. How do I even get started?