For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15
For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time.
2.
3.
4.
x(t) +3x(t) + 25x(t) = -50
x(0) = 0, x(0) = −1
x(t) +3x(t) +25x(t) = 3sin(2t)
x(0) = 0, x(0) = 1
0
2t+15
x(t) +3x(t) + 25x(t) =
=
2sin(t)
t<0
5t≥0
5t≥ 15
(plot to 20s)
x(0) = 0, x(0) = 0
0
t > 15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d69634b-8a8a-4609-8704-3bdadaefe256%2Fb301ead5-2287-4d28-a751-44c135ee17f8%2Fs0c1ri6_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time.
2.
3.
4.
x(t) +3x(t) + 25x(t) = -50
x(0) = 0, x(0) = −1
x(t) +3x(t) +25x(t) = 3sin(2t)
x(0) = 0, x(0) = 1
0
2t+15
x(t) +3x(t) + 25x(t) =
=
2sin(t)
t<0
5t≥0
5t≥ 15
(plot to 20s)
x(0) = 0, x(0) = 0
0
t > 15
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