Question

2.9 Obtain the inverse Laplace transform $f(t)$ for the following: a. $\frac{5s}{s^2 + 9}$ c. $\frac{45}{s(s+3)^2}$ b. $\frac{6}{s^2 - 9}$ d. $\frac{2}{s(s^2 + 4s + 13)}$

          2.9 Obtain the inverse Laplace transform $f(t)$ for the following:
a.  $\frac{5s}{s^2 + 9}$
c.  $\frac{45}{s(s+3)^2}$
b.  $\frac{6}{s^2 - 9}$
d.  $\frac{2}{s(s^2 + 4s + 13)}$

2.9 Obtain the inverse Laplace transform f(t) for the following:
a. (5s)/(s^2 + 9)
c. (45)/(s(s+3)^2)
b. (6)/(s^2 - 9)
d. (2)/(s(s^2 + 4s + 13))

Added by Iker P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

Step 1

To find the inverse Laplace transform of 5s/(s^2+9), we can use the partial fraction decomposition method. Show more…

Show all steps

Thanks for your feedback!

Do "b" and "d" only. 2.9 Obtain the inverse Laplace transform f(t) for the following: a. 5s/(s^2+9) b. 45/(s^2-9) c. 2C d. s/(s^2+32)

Play audio

Feedback

Hafiz Shahzaib and 63 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later

Question

2.9 Obtain the inverse Laplace transform $f(t)$ for the following: a. $\frac{5s}{s^2 + 9}$ c. $\frac{45}{s(s+3)^2}$ b. $\frac{6}{s^2 - 9}$ d. $\frac{2}{s(s^2 + 4s + 13)}$

Please give Ace some feedback