The governing equation for an electric circuit is derived as

\[L \frac{d i}{d t}+R i+\frac{1}{C} \int_{0}^{t} i(t) d t=v(t)\]

where \(L, R\), and \(C\) are the inductance, resistance, and capacitance, respectively, all constants; \(i(t)\) is the current; and \(v(t)\) is the applied voltage. Initial conditions are assumed to be zero. If \(v(t)\) and \(i(t)\) are the system input and output, respectively, find the transfer function.