15. £{³-te+ e cost}

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
#15
11. f(t) =
12. f(1) =
(sin 1.
10.
1e²1.
(1,
0<I<#.
# <I
0<1<3.
3 <1
In Problems 13-20, use the Laplace transform table and the
linearity of the Laplace transform to determine the following
transforms.
13. L{6e-1² +21-8}
14. £{5-e²¹ +61²}
15. £{³-te+ e cost}
16. {1²-31-2e-¹ sin 3r}
17. £{e sin 61-f³+e}
18. £{-²-1+ sin √21}
19. {re-ecos Vi}
20. £{e cos√31-Fe-2¹}
30
Transcribed Image Text:11. f(t) = 12. f(1) = (sin 1. 10. 1e²1. (1, 0<I<#. # <I 0<1<3. 3 <1 In Problems 13-20, use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms. 13. L{6e-1² +21-8} 14. £{5-e²¹ +61²} 15. £{³-te+ e cost} 16. {1²-31-2e-¹ sin 3r} 17. £{e sin 61-f³+e} 18. £{-²-1+ sin √21} 19. {re-ecos Vi} 20. £{e cos√31-Fe-2¹} 30
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