10. (a) The system of differential equations for the currents i2(t) and i3(t) in the electrical network shown in Figure 8.3.1 is -R/L -R;/L -(R¡ + R2)/L2) ) - ) (E/L \E/L, d (iz -R|/L, dt Use the method of undetermined coefficients to solve the system if R1 = 2 N, R2 = 3 N, L1 = 1 h, L2 = 1 h, E = 60 V, i2(0) = 0, and i3(0) = 0. (b) Determine the current i¡(t). iz R2 12 R1 E L1 L2 FIGURE 8.3.1 Network in Problem 10

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.