5.14 RLC circuit

\begin {align*} V\relax (s) & =I\relax (s) \left (R+Ls+\frac {1}{Cs}\right ) \\ I\relax (s) & =\frac {1}{R+Ls+\frac {1}{Cs}}V\relax (s) \end {align*}

As diļ¬€erential equation for current\[ I^{\prime \prime }\relax (t) +2\frac {R}{2L}I^{\prime }\relax (t) +\frac {1}{LC}I\relax (t) =0 \]