i)An electrical circuit consists of an inductor of inductance

*L* in series with a capacitor of capacitance

*C*. An alternating voltage of Eocos(wt) is applied to the circuit at time

*t*=0 with the initial charge

*q* in the circuit being zero and the initial current

*i* (=

*dq/dt*) being zero. Using Kirchoff’s laws the charge in the circuit satisfies the equation[/FONT]

Show that the charge in the circuit at any time *t* is given by the equation

where

I can get most of this. I dont get the cos(nt) bit and my denominator is