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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
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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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)=.
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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