6. e 2t sin2t + e³t₁² 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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determine the Laplace transform of the 21. given function using Table attached

 
TABLE 7.1 Brief Table of Laplace Transforms
f(t)
F(s)
=
L{f} (s)
1
1
S> 0
S
eat
S
a
th, n =
1, 2, . .
S> 0
sin bt
cos bt
eat th
n = 1, 2, ..
eat sin bt
eat cos bt
S
1
a
n!
sn+1
b
5² +6² ³
S
5² +6² ³
n!
(s − a)n+1
b
(s − a)² + b²
s-a
(s − a)² + b²
S> 0
S
> 0
V
s> a
s> a
S > a
Transcribed Image Text:TABLE 7.1 Brief Table of Laplace Transforms f(t) F(s) = L{f} (s) 1 1 S> 0 S eat S a th, n = 1, 2, . . S> 0 sin bt cos bt eat th n = 1, 2, .. eat sin bt eat cos bt S 1 a n! sn+1 b 5² +6² ³ S 5² +6² ³ n! (s − a)n+1 b (s − a)² + b² s-a (s − a)² + b² S> 0 S > 0 V s> a s> a S > a
6. e -2t sin 2t + e³t+2
Transcribed Image Text:6. e -2t sin 2t + e³t+2
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