Given the function s(1) = 6 e-31 Use the Laplace Transform table to convert this function into F(s).

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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q5

A F(s) =
S + 3
B F(s)
S + 1
- 3
F(s)
S - 6
6
F(s):
S - 3
1
E F(s) =
S + 2
3
F F(s) =
S + 6
2.
Transcribed Image Text:A F(s) = S + 3 B F(s) S + 1 - 3 F(s) S - 6 6 F(s): S - 3 1 E F(s) = S + 2 3 F F(s) = S + 6 2.
Given the function
f(1) = 6 e-31
Use the Laplace Transform table to convert this function into F(s).
f(t)
F(S)
S
1
eAt
S - A
N!
SN + 1
В
sin (B t)
s2
B2
cos (B t)
s2 + B2
N!
N eA!
(s - A)N + 1
B
eAl sin(B t)
(s - A)2 + B2
S - A
ed! cos(B t)
(s - A)? + B2
Transcribed Image Text:Given the function f(1) = 6 e-31 Use the Laplace Transform table to convert this function into F(s). f(t) F(S) S 1 eAt S - A N! SN + 1 В sin (B t) s2 B2 cos (B t) s2 + B2 N! N eA! (s - A)N + 1 B eAl sin(B t) (s - A)2 + B2 S - A ed! cos(B t) (s - A)? + B2
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