The circuit shown in the figure has initial current $i_{t}\left(0^{-}\right)=1 \mathrm{~A}$ through the inductor and an initial voltage $v_{c}\left(0^{-}\right)=-1 \mathrm{~V}$ across the capacitor. For input $v(t)=u(t)$, the Laplace transform of the current $i(t)$ for $t \geq 0$ is
- $\frac{\mathrm{s}}{s^{2}+s+1}$
- $\frac{s+2}{s^{2}+s+1}$
- $\frac{s-2}{s^{2}+s+1}$
- $\frac{s-2}{s^{2}+s+1}$