5.14 RLC circuit

$$\begin{array}{rl}V(s)& =I(s)(R+Ls+\frac{1}{Cs})\\ I(s)& =\frac{1}{R+Ls+\frac{1}{Cs}}V(s)\end{array}$$

As differential equation for current$$I^{\prime \prime }(t)+2\frac{R}{2L}{I}^{\prime }(t)+\frac{1}{LC}I(t)=0$$