FIGURE 4.1.14. E(t) = 100 sin 60t L: R3: 25 ohms 2 henries R1: 50 ohms

Set up a system of first-order differential equations for the
indicated currents I₁ and I₂ in the electrical circuit of
Fig. 4.1.14, which shows an inductor, two resistors, and
a generator which supplies an alternating voltage drop of
E(t) = 100 sin 60t V in the direction of the current I₁.