1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s +21 13 A 8(t) = - 3e-"cosh(5t) + –4'sinh(51) 13 B 8 (t) = – 3e -4 "cos(/51) + sin(/51) O 8(1) =- 3e *sin( /51) + cos(/51) H cos( /51) 8 (1) = – 3e “cos(/51) + 13 „4 sin(/51) D 5

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
1- 3s
Find the Inverse Laplace Transform of G (s) =
s2+ 8s +21
-At sinh (/5t)
13
A 8 (t) = - 3e-4"cosh(5t
e
|
5
13
8 (t) = – 3e -4'cos(51) +
-4 sin(/5r)
-"'cos( /51)
13
8 (t) = – 3e -4' sin(51)-
COS
D
8 (1) = – 3e “cos(/51) + e“sin(/5t)
Fe "sin
Transcribed Image Text:1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s +21 -At sinh (/5t) 13 A 8 (t) = - 3e-4"cosh(5t e | 5 13 8 (t) = – 3e -4'cos(51) + -4 sin(/5r) -"'cos( /51) 13 8 (t) = – 3e -4' sin(51)- COS D 8 (1) = – 3e “cos(/51) + e“sin(/5t) Fe "sin
2s +3
Find the Inverse Laplace Transform of F(s)
s2+4s + 13
A
f (t) = e
cos3t – –sin2t
4
B f(t) = e-"(cos31 – sin3t) 2
1
2cos3t – -sin3t
3
-2r
(c) f(t) = e
f (t)
(D f(t) = e
f (t)
2sin3t –
-cos3t
3
%3D
Transcribed Image Text:2s +3 Find the Inverse Laplace Transform of F(s) s2+4s + 13 A f (t) = e cos3t – –sin2t 4 B f(t) = e-"(cos31 – sin3t) 2 1 2cos3t – -sin3t 3 -2r (c) f(t) = e f (t) (D f(t) = e f (t) 2sin3t – -cos3t 3 %3D
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