L{tU(t- 1)}.
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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Question
Find the Laplace Transform - Given answer: e^(-s)[1/(s^2)+1/s]
![The expression shown in the image is:
\[ \mathcal{L} \{ tU(t-1) \} \]
This represents the Laplace transform of the function \( tU(t-1) \), where \( U(t-1) \) is the unit step function shifted by 1. The Laplace transform is a widely used integral transform in mathematics with applications in engineering and physics, particularly in the analysis of linear time-invariant systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64800780-3a27-40b8-a11a-6cbcd87af243%2Fe85936dd-abfb-432f-8a9e-9ae43b2fd501%2Fkxatprs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expression shown in the image is:
\[ \mathcal{L} \{ tU(t-1) \} \]
This represents the Laplace transform of the function \( tU(t-1) \), where \( U(t-1) \) is the unit step function shifted by 1. The Laplace transform is a widely used integral transform in mathematics with applications in engineering and physics, particularly in the analysis of linear time-invariant systems.
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