The circuit shown in the figure has initial current $$i_L(0) = 1A$$ through the inductor and an initial voltage $$V_c(0) = 1 V$$ across the capacitor. For input v(t) = U(t) the Laplace transform of the current i(t) for $$t \geq 0$$ is:

A

$$\frac{s}{s^2 + s + 1}$$

B

$$\frac{s + 2}{s^2 + s + 1}$$

C

$$\frac{s - 2}{s^2 + s + 1}$$

D

$$\frac{s - 2}{s^2 + s + 2}$$