Not too many physics people here I see. Don't know why they make us learn this junk in a math course when it's not even really math!
It's a differential equation so it is entirely a math problem. That doesnt mean that it cant be applicable in physics or a physics problem.
The voltage drop across a linear resistor is IR.
The voltage drop across a capacitor is Q/C.
The voltage drop across an inductor is
By Kirchoff's Law: