Show that by Kirchhoff??s voltage law (Sec. 2.9), the currents in the network in Fig. 150 are

Question:

Show that by Kirchhoff??s voltage law (Sec. 2.9), the currents in the network in Fig. 150 are obtained from the system Li'1 + T(i1 ?? i2) = v(t) R(i'2 ?? i'1) + 1/C i2 = 0 Solve this system, where R = 1 ?, L = 2H, C = 0.5 F, v(t) = 90e?? t/4 V, i1(0) = 0, i2(0) = 2A.