Final answer:
An LC circuit satisfies the differential equation: d^2q/dt^2 + (1/LC)q = 0, where q(t) represents the charge on the capacitor as a function of time and L and C are the inductance and capacitance of the circuit respectively.
Step-by-step explanation:
An LC circuit is a circuit that consists of an inductor (L) and a capacitor (C) connected in series. The differential equation that an LC circuit satisfies is:
d2q/dt2 + (1/LC)q = 0
Where q(t) represents the charge on the capacitor as a function of time and L and C are the inductance and capacitance of the circuit respectively.