14. Find L (e (t³ – 3² + 5t)) O a) O b) (s - 3)* (s – 3) (s – 3)* (8 – 3)() 15. L(t cos 6t) Which Laplace property is use to solve this? O a) Linearity Property O C) First Shifting Property O b) Derivative of Laplace Transform O d) Second Shifting Property 16. L(t sin 4t) What is n, fit) and Fs)? O b) O a) n = 1, ƒ (t) = sin 4t, F (s) = n= 4, ƒ (t) = t, F (s) = 교+ 16 16 n= 1, f (t) = cos 6t, F (s) = 14

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
14. Find L (e" (* – 3° + 5t))
O a)
O b)
5
(s – 3)*
(s - 3)*
(s – 3)
3
3)*
(s - 3)
(s - 3)
(s- 3)2)
15. L(t cos 6t) Which Laplace property is use to solve
this?
O a) Linearity Property
O ) First Shifting Property
O b) Derivative of Laplace Transform
O d) Second Shifting Property
16. L(t sin đt) What is n, fit) and F(s)?
O a)
n = 1, f (t)
O b)
4.
n= 4, f (t) = t, F (s) =
sin 4t, F (s):
82+ 16
s²+16
n= 1, f (t) = cos 6t, F (s) = 14
Transcribed Image Text:14. Find L (e" (* – 3° + 5t)) O a) O b) 5 (s – 3)* (s - 3)* (s – 3) 3 3)* (s - 3) (s - 3) (s- 3)2) 15. L(t cos 6t) Which Laplace property is use to solve this? O a) Linearity Property O ) First Shifting Property O b) Derivative of Laplace Transform O d) Second Shifting Property 16. L(t sin đt) What is n, fit) and F(s)? O a) n = 1, f (t) O b) 4. n= 4, f (t) = t, F (s) = sin 4t, F (s): 82+ 16 s²+16 n= 1, f (t) = cos 6t, F (s) = 14
17. Find L (t sin 4t)
O a) 2
O b)
(s +4)
4s
8s
(s2 + 16)
Transcribed Image Text:17. Find L (t sin 4t) O a) 2 O b) (s +4) 4s 8s (s2 + 16)
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