Find the given inverse Laplace transform. 1 € - ¹3 s² +45+5 a. e²¹ sin(t) b. e-2¹ sin(t) C. e-2¹cos(2t) d. e-²'sin(2t)
Find the given inverse Laplace transform. 1 € - ¹3 s² +45+5 a. e²¹ sin(t) b. e-2¹ sin(t) C. e-2¹cos(2t) d. e-²'sin(2t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Finding the Inverse Laplace Transform**
Find the given inverse Laplace transform:
\[ \mathcal{L}^{-1} \left\{ \frac{1}{s^2 + 4s + 5} \right\} \]
a. \( e^{2t} \sin(t) \)
b. \( e^{-2t} \sin(t) \)
c. \( e^{-2t} \cos(2t) \)
d. \( e^{-2t} \sin(2t) \)
**Answer Choices:**
- \( \circ \) a
- \( \circ \) b
- \( \circ \) c
- \( \circ \) d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d2af6b8-35d3-4327-94c1-a05ff77beaf0%2F02315104-133e-4389-aad9-a8b8cd561a10%2F41srf7f_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding the Inverse Laplace Transform**
Find the given inverse Laplace transform:
\[ \mathcal{L}^{-1} \left\{ \frac{1}{s^2 + 4s + 5} \right\} \]
a. \( e^{2t} \sin(t) \)
b. \( e^{-2t} \sin(t) \)
c. \( e^{-2t} \cos(2t) \)
d. \( e^{-2t} \sin(2t) \)
**Answer Choices:**
- \( \circ \) a
- \( \circ \) b
- \( \circ \) c
- \( \circ \) d
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