Determine £¹{F}. F(s) = 3s² + 42s + 119 (s + 5)² (s + 1) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. L-1¹{F} =
Determine £¹{F}. F(s) = 3s² + 42s + 119 (s + 5)² (s + 1) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. L-1¹{F} =
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
8 help
![### Determine \( \mathcal{L}^{-1} \{ F \} \)
\[
F(s) = \frac{3s^2 + 42s + 119}{(s + 5)^2 (s + 1)}
\]
[Click here to view the table of Laplace transforms.](#)
[Click here to view the table of properties of Laplace transforms.](#)
\[
\mathcal{L}^{-1} \{ F \} = \boxed{\ }
\]
---
This exercise asks you to determine the inverse Laplace transform of the given function \( F(s) \). It is often useful to refer to standard tables of Laplace transforms to find the inverse of more complex functions. The numerator of the function is \( 3s^2 + 42s + 119 \), and the denominator includes the terms \((s + 5)^2 (s + 1)\). Use the provided links to assist with finding the necessary transforms and their properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1d700aa-072a-4ff7-be1d-cdca0f10aa9d%2F3e4cb826-f930-44ec-b9c3-6e9ac3be93f8%2Fd74dgml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determine \( \mathcal{L}^{-1} \{ F \} \)
\[
F(s) = \frac{3s^2 + 42s + 119}{(s + 5)^2 (s + 1)}
\]
[Click here to view the table of Laplace transforms.](#)
[Click here to view the table of properties of Laplace transforms.](#)
\[
\mathcal{L}^{-1} \{ F \} = \boxed{\ }
\]
---
This exercise asks you to determine the inverse Laplace transform of the given function \( F(s) \). It is often useful to refer to standard tables of Laplace transforms to find the inverse of more complex functions. The numerator of the function is \( 3s^2 + 42s + 119 \), and the denominator includes the terms \((s + 5)^2 (s + 1)\). Use the provided links to assist with finding the necessary transforms and their properties.
Expert Solution
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 4 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
