SECTION 3.1 PROBLEMS In each of Problems 1 through 5, use Table 3.1 to determine the Laplace transform of the function. 1. f(1) =3t cos(21) 2. g(1) =e" sin(81) 3. h(t) =14t – sin(7t) 7. Q(s)= 8. G(s) = 9. P(s) = %3D 10. F(s) = For Problems 11 through 14, suppose that f(f) is defined for all t20 and has a period T. This means that f(t+T)= f(f) for all t> 0. 4. w(1) = cos(3f) –- cos(7t) 5. k(1) =-5fe+ sin(3f) In each of Problems 6 through 10, use Table 3.1 to determine the inverse Laplace transform of the function. 11. Show that 6. R(s) = LI F\(s) = E/ e f(t) dt.
SECTION 3.1 PROBLEMS In each of Problems 1 through 5, use Table 3.1 to determine the Laplace transform of the function. 1. f(1) =3t cos(21) 2. g(1) =e" sin(81) 3. h(t) =14t – sin(7t) 7. Q(s)= 8. G(s) = 9. P(s) = %3D 10. F(s) = For Problems 11 through 14, suppose that f(f) is defined for all t20 and has a period T. This means that f(t+T)= f(f) for all t> 0. 4. w(1) = cos(3f) –- cos(7t) 5. k(1) =-5fe+ sin(3f) In each of Problems 6 through 10, use Table 3.1 to determine the inverse Laplace transform of the function. 11. Show that 6. R(s) = LI F\(s) = E/ e f(t) dt.
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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Transcribed Image Text:SECTION 3.1
PROBLEMS
In each of Problems 1 through 5, use Table 3.1 to determine
the Laplace transform of the function.
1. f(1) =3t cos(21)
2. g(1) =e" sin(81)
3. h(t) =14t – sin(7t)
7. Q(s)=
8. G(s) =
9. P(s) =
%3D
10. F(s) =
For Problems 11 through 14, suppose that f(f) is defined
for all t20 and has a period T. This means that f(t+T)=
f(f) for all t> 0.
4. w(1) = cos(3f) –- cos(7t)
5. k(1) =-5fe+ sin(3f)
In each of Problems 6 through 10, use Table 3.1 to
determine the inverse Laplace transform of the function.
11. Show that
6. R(s) =
LI F\(s) = E/ e f(t) dt.
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