Find the Saplace transform of f(t)=sin(3t) cos(3t) by using the properties and table of the aplace transform. TABLE 7.1 S(0) 1 eat t", n = 1,2,... sin bt Brief Table of Laplace Transforms F(s) = £{f}(s) 1 s>0 cos bt S 1 s-a n! 3+1, b s² + b². S s² + b² . s> a s>0 s>0 s>0
Find the Saplace transform of f(t)=sin(3t) cos(3t) by using the properties and table of the aplace transform. TABLE 7.1 S(0) 1 eat t", n = 1,2,... sin bt Brief Table of Laplace Transforms F(s) = £{f}(s) 1 s>0 cos bt S 1 s-a n! 3+1, b s² + b². S s² + b² . s> a s>0 s>0 s>0
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
Section 7.3
![Find the Laplace transform of f(t)=sin(3t) cos(3t)
by using the properties and table of the Zaplace transform.
TABLE 7.1 Brief Table of Laplace Transforms
S(1)
F(s) = £{f}(s)
1
1
t"
sin bt
n = 1, 2, ...
cos bt
1
n!
s>0
b
3² + b²
S
s² + b²
s > a
s>0
S> 0
S> 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F946e5b6f-098d-47d1-a6b1-15872ebd1054%2F1b8bc7d4-fe20-4af5-a966-1b55ae2bd0a4%2Fe9kfvvio_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the Laplace transform of f(t)=sin(3t) cos(3t)
by using the properties and table of the Zaplace transform.
TABLE 7.1 Brief Table of Laplace Transforms
S(1)
F(s) = £{f}(s)
1
1
t"
sin bt
n = 1, 2, ...
cos bt
1
n!
s>0
b
3² + b²
S
s² + b²
s > a
s>0
S> 0
S> 0
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