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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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From the book: A FIRST COURSE IN DIFFERENTIAL EQUATIONS with Modeling Applications by DENNIS G. ZILLLoyola Marymount University
 
Chapter : 8.3.1 UNDETERMINED COEFFICIENTS
from exercise : problem:*attached
10. (a) The system of differential equations for the currents iz(t) and i3(t) in the electrical network shown in Figure 8.3.1 is -R\/L -R¡/L2 -R|/L -(R, + R2)/L2) (E/L \E/L2, d (iz + 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). R1 iz R2 E L L2 FIGURE 8.3.1 Network in Problem 10
Transcribed Image Text:10. (a) The system of differential equations for the currents iz(t) and i3(t) in the electrical network shown in Figure 8.3.1 is -R\/L -R¡/L2 -R|/L -(R, + R2)/L2) (E/L \E/L2, d (iz + 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). R1 iz R2 E L L2 FIGURE 8.3.1 Network in Problem 10
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