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[Steps Shown] If an electoral oscillator circuit contains an inductor with inductance L, a capacitor with capacitance C, and a resistor with resistance R,

Question: If an electoral oscillator circuit contains an inductor with inductance $L$, a capacitor with capacitance $C$, and a resistor with resistance $R$, then the voltage $V$ at time $t$ is given by the solution to this differential equation:

$L C \frac{d^{2} V}{d t^{2}}+R C \frac{d V}{d t}+V=0$

Determine the formula for $V$. Assume $(R C)^{2}<4 L C .$

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[Steps Shown] If an electoral oscillator circuit contains an inductor with inductance L, a capacitor with capacitance C, and a resistor with resistance R,

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