Problem deal with the RC circuit in Fig. 2.7.8, containing a resistor (It ohms), a capac...

Problem deal with the RC circuit in Fig. 2.7.8, containing a resistor (It ohms), a capacitor (C farads), a switch, a source of alit but no inductor. Substitution of L = 0 in Eq. (3) gives the linear first-order differential equation

for the charge Q = Q(t) on the capacitor at time t. Note that

(a) Find the charge Q (t) and current I(t) in the RC circuit if (a constant voltage supplied by a battery) and the switch is closed at time t = 0, so that Q (0) = 0. (b) Show that