At time t = 0, with no currents flowing, a voltage v(t) = 10 sin t is applied to the primary circuit of a transformer that has a mutual inductance of 1 H, as shown in Figure 11.15. Denoting the current flowing at time t in the secondary circuit by i₂(t), show that

and deduce that

L{i(t)} = 10s (s + 7s+ 6)(s + 1)