Given the function Y(s) - (s - 1) Use the Laplace Transform table to convert this function into fit).

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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4

Given the function
6.
Y(s) -
(s - 1)*
Use the Laplace Transform table to convert this function into f(t).
f(t)
Y(s)
S - A
N!
sin(B t)
s2 + B2
cos(B 1)
+ B2
N!
(s - A)N+1
B
sin( Bt)
(s - A)2 + B?
S - A
cos( B 1)
(s - A)? + B2
A s(1) - e
6 s(1) - Pe
© s(1) - te
O s(1) - 6e
O s(1) - 6re
Transcribed Image Text:Given the function 6. Y(s) - (s - 1)* Use the Laplace Transform table to convert this function into f(t). f(t) Y(s) S - A N! sin(B t) s2 + B2 cos(B 1) + B2 N! (s - A)N+1 B sin( Bt) (s - A)2 + B? S - A cos( B 1) (s - A)? + B2 A s(1) - e 6 s(1) - Pe © s(1) - te O s(1) - 6e O s(1) - 6re
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