Second Order Linear Differential Equations
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
I can get most of this. I dont get the cos(nt) bit and my denominator is
What is the current in the circuit at any time t ?.
What is the charge in the circuit when w = n ?