1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s +21 13 8 (1) = – 3e -d"cosh(V51) + #sinh(/51) 13 8 (1) = – 3e“cos(/51) + e 5 8 (t) = – 3e -4' sin(51) + sin(/51) + 13 Hi cos( /51) -4i sin ( /51) 13 (D 8 (1) = - 3e -4"cos(/
1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s +21 13 8 (1) = – 3e -d"cosh(V51) + #sinh(/51) 13 8 (1) = – 3e“cos(/51) + e 5 8 (t) = – 3e -4' sin(51) + sin(/51) + 13 Hi cos( /51) -4i sin ( /51) 13 (D 8 (1) = - 3e -4"cos(/
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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Transcribed Image Text:Question 19
1- 3s
Find the Inverse Laplace Transform of G (s) =
s2+ 8s + 21
13
A 8(t) = - 3e-d'cosh(5t) +
-41
inh (/5r)
(/51)+
13
-e "sin
5
et#sin(/51)
B
В
8 (t) = - 3e"cos
13
8 (t) = – 3e-4'sin(V51) +
Hcos(/51)
"sin(/51)
V5
13
8 (1) = – 3e -4'cos(/51) +
COS
e
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