With an LC series

${\displaystyle L{\frac {dI}{dt}}+{\frac {1}{C}}\int Idt=0}$

${\displaystyle {\frac {d^{2}I}{dt}}+{\frac {1}{LC}}I=0}$

${\displaystyle {\frac {d^{2}I}{dt}}+{\frac {1}{LC}}=0}$

${\displaystyle {\frac {d^{2}I}{dt}}=-{\frac {1}{T}}}$

${\displaystyle I=Ae^{\pm j\omega t}=A\sin \omega t}$

The reponse of an LC series is a Sinusoidal Wave or LC series can be used to produce Sin Wave Oscillator