From the book: A FIRST COURSE IN DIFFERENTIAL EQUATIONS with Modeling Applications by DENNIS G. ZILLLoyola Marymount University Chapter : 8.3.1 UNDETERMINED COEFFICIENTSfrom exercise : problem:*attached 10. (a) The system of differential equations for the currentsiz(t) and i3(t) in the electrical network shown inFigure 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 tosolve 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).R1iz R2ELL2FIGURE 8.3.1Network in Problem 10

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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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

Question

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

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The matrix system of differential equation is given as follows:

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We begin with substituting the values in the given differential equation,

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ISBN:

9780470458365

Author:

Erwin Kreyszig

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