3. 9. Solve X' = 3 X + C) subject to 4 X(0) %3D 5)

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Chapter1: The Study Of Motion
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-1
3.
-2
х +
4,
9. Solve X'
subject to
3
3
X(0)
Transcribed Image Text:-1 3. -2 х + 4, 9. Solve X' subject to 3 3 X(0)
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
)-
d (iz
dt \i3
(-R|/L,
-R¡/L2 -(R¡ + R2)/L/\i;/
(E/L
\E/L2)
iz
Use the method of undetermined coefficients to
solve the system if R1 = 2 N, R2 = 3 N, L¡ = 1 h,
L2 = 1 h, E = 60 V, i2(0) = 0, and i3(0) = 0.
(b) Determine the current ij(t).
R1
iz R2
E
L1
Transcribed Image Text: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 )- d (iz dt \i3 (-R|/L, -R¡/L2 -(R¡ + R2)/L/\i;/ (E/L \E/L2) iz Use the method of undetermined coefficients to solve the system if R1 = 2 N, R2 = 3 N, L¡ = 1 h, L2 = 1 h, E = 60 V, i2(0) = 0, and i3(0) = 0. (b) Determine the current ij(t). R1 iz R2 E L1
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