$$ \begin{pmatrix} \frac{di}{dt} \\ \frac{dv_c}{dt} \end{pmatrix} = \begin{pmatrix} \frac{-R}{L} & \frac{-1}{L} \\ \frac{1}{C} & 0 \end{pmatrix} \begin{pmatrix} i \\ v_c \end{pmatrix}$$