Match the correct inverse laplace transform of the given function. 1-3s 5t 3 + 19e-2t A. s2 + 8s +21 3s-2 7 14 - 24 3 3t В. 1 3t V13 2s2 - 6s -2 특(3e 2 cosh(- t) + sinh( -t) e 2 2 V13 2 2 - 5s C_3e-cos(/5t) + s 13 -4tsin(/5t) V5 (s- 6)(s² + 11) -3e-4tcos(/5t) + v 7 1 19 D. 1 67 3s-5 '는(-28e6t + 28cos(VIIt) s+2 sin(/11t)) 47 11

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Match the correct inverse laplace transform of the given function.
1-3s
A. 7
5t
1
s² +8s+21
3s- 2
24 -3
+ 19e-2t
e
3t
2
cosm ann»
3t
V13
t))
В.
V13
t) +
1
2s2 – 6s - 2
2 - 5s
sinh(
2
13
e
V5
C.
(s- 6)(s? + 11)
-3e-4tcos(/5t)+
4tsin(/5t)
7
19
D. 1
-(-28e6t +28cos(/11t)
47
67
sin(/11t)
V11
3s-5
s+2
-
Transcribed Image Text:Match the correct inverse laplace transform of the given function. 1-3s A. 7 5t 1 s² +8s+21 3s- 2 24 -3 + 19e-2t e 3t 2 cosm ann» 3t V13 t)) В. V13 t) + 1 2s2 – 6s - 2 2 - 5s sinh( 2 13 e V5 C. (s- 6)(s? + 11) -3e-4tcos(/5t)+ 4tsin(/5t) 7 19 D. 1 -(-28e6t +28cos(/11t) 47 67 sin(/11t) V11 3s-5 s+2 -
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