Consider a system model given by d²x (1) dt² +3- +x(t)=2- dx (1) dt x (0)=0 dx (t) dt 2- t=0 What is the impulse response function? -1/2 -t e - e -1 2e-¹-e-1/2 + sint 1 = 1 2 e -1/2 -t -t-e-1/2 + sint +6 --e-¹ -1/2 - df (t) dt 2
Consider a system model given by d²x (1) dt² +3- +x(t)=2- dx (1) dt x (0)=0 dx (t) dt 2- t=0 What is the impulse response function? -1/2 -t e - e -1 2e-¹-e-1/2 + sint 1 = 1 2 e -1/2 -t -t-e-1/2 + sint +6 --e-¹ -1/2 - df (t) dt 2
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
![Consider a system model given by
d²x (1)
dt²
+3- +x(t)=2-
dx (1)
dt
x (0)=0
dx (t)
dt
2-
t=0
What is the impulse response function?
-1/2
-t
e
- e
-1
2e-¹-e-1/2
+ sint
1
= 1
2
e
-1/2
-t
+ sint
-¹-e-1/2
2-e-1
+6
-1/2
-
df (t)
dt
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbaf4232-108c-4511-b937-7c77f68073d0%2F99448308-8def-4256-8ab7-fda030e1e953%2Fi6dwyej_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a system model given by
d²x (1)
dt²
+3- +x(t)=2-
dx (1)
dt
x (0)=0
dx (t)
dt
2-
t=0
What is the impulse response function?
-1/2
-t
e
- e
-1
2e-¹-e-1/2
+ sint
1
= 1
2
e
-1/2
-t
+ sint
-¹-e-1/2
2-e-1
+6
-1/2
-
df (t)
dt
2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)