Soive equaLion (10) Trom Section 7.4 + Ri(t) + dt i(t) dr = E(t) Jo (10) subject to i(0) = 0 with L, R, C, and E(t) as given. L = 0.1 h, R = 3 0, C = 0.05 f, E(t) = 80 U(t – 1) – U(t – 1-t i(t) = (80 e10 1-t -20 Ju(t- 1) + (80 e20–10r 10-201 Use a graphing utility to graph the solution for 0 st< 3. i i 30아 30 20 20 10 10 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 -10 -10 -20 -20 O-30- O - 30 i i 30 30 20 20 10 10 0.5 10 1.5 2.0 2.5 3.0 0.5 10 1.5 2.0 2.5 3.0 10F 10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 67EQ
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Soive equaLIoN (10) Trom Section 7.4
+ Ri(t) +
dt
1
i(t) dt = E(t)
(10)
subject to i(0) = 0 with L, R, C, and E(t) as given.
L = 0.1 h, R = 3 N, C = 0.05 f,
E(t) = 80 U(t - 1) – U(t – 2)
i(t) = 80 e
10 1-t20
1-t
Ja(t - 1) + ( 80 e20 – 10t e10-201
Ja( -
%3D
Use a graphing utility to graph the solution for 0 s t 3.
i
i
30
30
20
20
10
10
0.5
1.0
1.5
2.0
2.5
3.0
0.5
1.0
1.5
2.0
2.5
3.0
-10
-10
-20
- 20
O-30
O - 30-
i
30
30
20
20
10
10
0.5
1.0
1.5
2.0
2.5
3.0
0.5
1.0
1.5
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3.0
- 10
-10
-20
Transcribed Image Text:Soive equaLIoN (10) Trom Section 7.4 + Ri(t) + dt 1 i(t) dt = E(t) (10) subject to i(0) = 0 with L, R, C, and E(t) as given. L = 0.1 h, R = 3 N, C = 0.05 f, E(t) = 80 U(t - 1) – U(t – 2) i(t) = 80 e 10 1-t20 1-t Ja(t - 1) + ( 80 e20 – 10t e10-201 Ja( - %3D Use a graphing utility to graph the solution for 0 s t 3. i i 30 30 20 20 10 10 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 -10 -10 -20 - 20 O-30 O - 30- i 30 30 20 20 10 10 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 - 10 -10 -20
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