N! sin(B t) s2 + B2 cos(B 1) s2 + B2 N! (s - A)N+1 B A sin(B t) (s - A)? + B2 S - A Ai cos( B t) (s - A)? + B2 A s(1) - cos( 161) 16 B s() - 5 cos(4) (1) = 20 sin( 4 4) s(1) = sin(4 ) O s(1) = sin(4 1) %3D

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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Question

6

Given the function
Y(s) =
%3D
s2 + 16
Use the Laplace Transform table to convert this function into f(t).
f(t)
Y(s)
S - A
N!
B.
sin(B 1)
s2 + B2
cos(B 1)
s2 + B2
N!
(s - A)N +1
B
A sin(B r)
(s - A): + B2
S - A
A cos( B t)
z + z(V - s)
A s() = cos( 161)
%3!
16
Bs()- 5 cos(41)
O()- 20 sin(4 )
D s() - sin(41)
O s(1)
- sin(4 1)
%3!
s() = te
Transcribed Image Text:Given the function Y(s) = %3D s2 + 16 Use the Laplace Transform table to convert this function into f(t). f(t) Y(s) S - A N! B. sin(B 1) s2 + B2 cos(B 1) s2 + B2 N! (s - A)N +1 B A sin(B r) (s - A): + B2 S - A A cos( B t) z + z(V - s) A s() = cos( 161) %3! 16 Bs()- 5 cos(41) O()- 20 sin(4 ) D s() - sin(41) O s(1) - sin(4 1) %3! s() = te
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