SECTION 3.1 PROBLEMS 7. Q(s)= In each of Problems 1 through 5, use Table 3.1 to determine the Laplace transform of the function. 8. G(s)= - 9. P(s)= - 1. f(f)=3tcos(2t) 2. g(t) = e" sin(8t) 3. h(t) = 14t – sin(7t) 4. w(t) = cos(3t) – cos(7t) 5. k(t) = -5fe4+ sin(3t) In each of Problems 6 through 10, use Table 3.1 to (s+3)4 10. F(s)= 7 For Problems 11 through 14, suppose that f(t) is defined for all t>0 and has a period T. This means that f(t+ T)= f(t) for all t>0. 11. Show that determine the inverse Laplace transform of the function. EΓ" (a+1)T L[ f](s)= est 6. R(s)=.
SECTION 3.1 PROBLEMS 7. Q(s)= In each of Problems 1 through 5, use Table 3.1 to determine the Laplace transform of the function. 8. G(s)= - 9. P(s)= - 1. f(f)=3tcos(2t) 2. g(t) = e" sin(8t) 3. h(t) = 14t – sin(7t) 4. w(t) = cos(3t) – cos(7t) 5. k(t) = -5fe4+ sin(3t) In each of Problems 6 through 10, use Table 3.1 to (s+3)4 10. F(s)= 7 For Problems 11 through 14, suppose that f(t) is defined for all t>0 and has a period T. This means that f(t+ T)= f(t) for all t>0. 11. Show that determine the inverse Laplace transform of the function. EΓ" (a+1)T L[ f](s)= est 6. R(s)=.
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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=
est
6. R(s)=.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5932f35-3c0f-4510-8ef6-742d5871fbfc%2F1a4a7c51-aaca-4d7d-b65f-9fac911d30a2%2Fa1yzoxl.png&w=3840&q=75)
Transcribed Image Text:SECTION 3.1
PROBLEMS
7. Q(s)=
In each of Problems 1 through 5, use Table 3.1 to determine
the Laplace transform of the function.
8. G(s)= -
9. P(s)= -
1. f(f)=3tcos(2t)
2. g(t) = e" sin(8t)
3. h(t) = 14t – sin(7t)
4. w(t) = cos(3t) – cos(7t)
5. k(t) = -5fe4+ sin(3t)
In each of Problems 6 through 10, use Table 3.1 to
(s+3)4
10. F(s)= 7
For Problems 11 through 14, suppose that f(t) is defined
for all t>0 and has a period T. This means that f(t+ T)=
f(t) for all t>0.
11. Show that
determine the inverse Laplace transform of the function.
EΓ"
(a+1)T
L[ f](s)=
est
6. R(s)=.
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