Apply the theorem of integration of transforms to find the Laplace transform of f(t). f(t) = 2 sin 6t + 2 sin 6t + L {= (please enter an exact answer, using IT as needed. Enter an expression using s as the variable.)
Apply the theorem of integration of transforms to find the Laplace transform of f(t). f(t) = 2 sin 6t + 2 sin 6t + L {= (please enter an exact answer, using IT as needed. Enter an expression using s as the variable.)
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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
Transcribed Image Text:Apply the theorem of integration of transforms
to find the Laplace transform of
f(t).
f(t) = 2 sin 6t
L {² sin 6+ } =
Table of Laplace transforms
f(t)=¹{F(s)} L{f(t)} = F(s)
1
1
(s > 0)
{"
ta
eat
Sn+1
г(а+1)
s-a
(s> 0)
(s> 0)
(s> 0)
(s>a)
f(t)=L¹{F(s)}
cos kt
sin kt
cosh kt
sinh kt
eat.n
L{f(t)}=F(s)
S
s²-k²
n!
(s-a)+1
(s> 0)
(s>0)
(s> |k|)
(s> |k|)
(please enter an
exact answer,
using IT as needed.
Enter an expression
using s as the
variable.)
(s>a)
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