Here is the graph of $Q(t)$ over time, which shows the charge on the capacitor for $t > 0$ in the LC circuit. The behavior is characterized by a sinusoidal pattern with frequency beats, as derived.

Would you like further details on any part of this solution, or do you have specific questions?

Here are five related questions for further exploration:

1. How would changing the inductance or capacitance affect the oscillation frequency of $Q(t)$?
2. What would happen to $Q(t)$ if the applied voltage frequency matched the natural frequency of the circuit?
3. How is the average frequency of $Q(t)$ connected to the LC circuit's resonance?
4. How would damping, if present, alter the behavior of $Q(t)$ in this circuit?
5. How do the initial conditions affect the solution for $Q(t)$ in an LC circuit?

Tip: For LC circuits, resonance occurs when the driving frequency matches the natural frequency, resulting in maximum amplitude in steady-state conditions.