The system of differential equations for the currents i 1 (t) and i2(t) in the electrical network

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The system of differential equations for the currents i1(t) and i2(t) in the electrical network shown in Figure 8.3.2 is

-(-(R, + R2)/L2 R2/L, R2/L, -R/L \i2, E/L dt

Use variation of parameters to solve the system if R1 = 8 Ω, R2 = 3 Ω, L1 = 1 h, L2 = 1 h, E(t) = 100 sin t V, i1(0) = 0, and i2(0) = 0.

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