When E = 100 V, R = 10 , and L = 1 h, the system of differential equations for the currents i 1 (t)

When E = 100 V, R = 10 Ω, and L = 1 h, the system of differential equations for the currents i₁(t) and i₃(t) in the electrical network given in Figure 9.4.3 is

where i₁(0) = 0 and i3(0) [1] 0. Use the RK4 method to approximate i1(t) and i3(t) at t [1] 0.1, 0.2, 0.3, 0.4, and 0.5. Use h = 0.1. Use a numerical solver to graph the solution for 0 ≤ t ≤ 5. Use the graphs to predict the behavior of i1(t) and i3(t) as t → ∞.

di -20i, + 10iz + 100 dt diz 10i, 20i3, dt ||