Consider the DC circuit of Figure $ 4$. Inductance L satisfies $L = (R^2) C / 2$. Calculate:
a) The differential equation for the charge $ Q (t) $ contained in the capacitor;
b) The solution of diferential equation of the preceding item;
c) the power dissipated in the resistance and the energy stored in the capacitor for sufficiently long times so that only the stationary solution is present.