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

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Chapter2: Second-order Linear Odes
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Section 7.3 Differential Equations

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
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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