RLC low-pass circuit

FermatPell

1. The problem statement, all variables and given/known data

Find the current through the resistor in the following RLC low-pass circuit:

(there's an EMF missing on the left side, V=Vo cos(omega*t)

2. Relevant equations
Kirchoff's loop rule


3. The attempt at a solution
By using Kirchoff's loop rule and the junction rule, i get two differential equations. But im stuck, cant solve them.

rude man

Show them why don't you ....