When E = 100 V, R = 10 , and L = 1 h, the system of

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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

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


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 → ∞.

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