Practical Electronics/Sin Wave Oscillator

With an LC series

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

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

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

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

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

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