1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 -4i sinh (/51) 13 8 (t) = – 3e -4'cosh(/51) + 13 8 (t) = – 3e-4'cos(/51) + -4isin(/51) -dicos(/51) 8 (t) = – 3e ~4'sin( V51) +13e -4, V5 D 8(1) = - 3e“cos(vV51)+ *sin (/51) |

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
-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
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