Finding the step response of a RLC circuit
There seems to be an error in the approach of the transfer function:

$$\frac{V(s)}{V_s(s)}=\frac{\frac{1}{sC}}{R_1+\frac{1}{sC}||(R_2+sL)}$$

when the correct is:

$$
\frac{V(s)}{V_s(s)}=\frac{\frac{1}{sC}||(R_2+sL)}{R_1+\frac{1}{sC}||(R_2+sL)}
$$

according to the voltage divider.