Use the Laplace Transform table to convert this function into fit). fit) Y(s) A N! B sin(B t) cos( 8 1) s2 + B? N! (5 - A)*+1 B A sin(B t) (s - A)? + B? 5-A Al cas( B t) (s - A)? + B2

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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3

Given the function
24
Y(s) -
%3D
Use the Laplace Transform table to convert this function into f(t).
f(t)
Y(s)
S - A
N!
B
sin(B t)
s2 + B2
cos(B 1)
s2 + B2
N!
(s - A)X+1
B
Al sin(B 1)
(s - A)? + B2
5 - A
A cos( B t)
(s - A)? + B?
s(i) - 15
B s() - 24
© s(1) -
D.
s(1) = 24e-5
S) - 24
E
s() - 24 4
Transcribed Image Text:Given the function 24 Y(s) - %3D Use the Laplace Transform table to convert this function into f(t). f(t) Y(s) S - A N! B sin(B t) s2 + B2 cos(B 1) s2 + B2 N! (s - A)X+1 B Al sin(B 1) (s - A)? + B2 5 - A A cos( B t) (s - A)? + B? s(i) - 15 B s() - 24 © s(1) - D. s(1) = 24e-5 S) - 24 E s() - 24 4
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