1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 13 re A 8(1) = - 3e -'cosh(V51) + -isinh(/5r) V5 8(1) = - 3e “cos(/51) +- "sin(/51) 13 © 8(1) = - 3e -'sin( /51) + 13 8 (1) = – 3e -d'cos(vV51) +

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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1- 3s
Find the Inverse Laplace Transform of G (s) =
s2+ 8s + 21
8(1) = - 3e -4cosh(/51) +
"sinh(/51)
-4r
® 8(1) = - 3e“cos(/5) + *sin(/51)
B
e "sin
e-cos(/5t)
V5
13
8 (1) = – 3e -d'sin(51) +
-4t
13
8(1) = – 3e -"cos(y51)+
sin(/51)
V5
Transcribed Image Text:1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 8(1) = - 3e -4cosh(/51) + "sinh(/51) -4r ® 8(1) = - 3e“cos(/5) + *sin(/51) B e "sin e-cos(/5t) V5 13 8 (1) = – 3e -d'sin(51) + -4t 13 8(1) = – 3e -"cos(y51)+ sin(/51) V5
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