33. The system of differential equations for the currents i(t) and i2(t) in the electrical network shown in Figure 8.3.2 is -(R¡ + R2)/L2 (':) = (-(R, + R2)/L, R2/L, R;/L,) -R./L N) + (). dt \i, Use variation of parameters to solve the system - 30 if

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Hi, i have this problem, the thing is that i need to solve it using laplace trasform, help 

33. The system of differential equations for the currents i(t)
and i2(t) in the electrical network shown in Figure 8.3.2 is
(R, + R2)/L2
R2/L,
R2/Li
-R2/L, )
d
-(R|
+
dt \i,
Use variation of parameters to solve the system
R = 8 N,
E(t) = 100 sin t V, i¡(0) = 0, and iz(0) = 0.
if
R2 = 3 N,
L = 1 h,
L2 = 1 h,
%3D
%3D
iz
R1
i,
E
R2
L2
FIGURE 8.3.2 Network in Problem 33
Transcribed Image Text:33. The system of differential equations for the currents i(t) and i2(t) in the electrical network shown in Figure 8.3.2 is (R, + R2)/L2 R2/L, R2/Li -R2/L, ) d -(R| + dt \i, Use variation of parameters to solve the system R = 8 N, E(t) = 100 sin t V, i¡(0) = 0, and iz(0) = 0. if R2 = 3 N, L = 1 h, L2 = 1 h, %3D %3D iz R1 i, E R2 L2 FIGURE 8.3.2 Network in Problem 33
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,