(s) = 20 (s+3)(s² +8s+25) f(t)=2e-3t2e-4t cos3t- -
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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Show the solution of finding the inverse laplace of each functions. The answer/s is already given.
Transcribed Image Text:20
(s+3)(s² +8s +25)
f(t) = 2e-³t - 2e-4t cos3t
1) F₁(s) =
2) F₁(s) =
10
(s + 1)(s² + 4s +13)
3) F₂(s) =
-
f(t) = e-t-e-21 cos3t - 12e-21:
3
4) F₂(s) =
2-4t
₂-4t sin3t
3
s² +5s +6
(s + 1)²(s+4)
7 2
f(t)
(10) = ²e²¹² +²e=¹ + ²/1-²
te-1
9
9
-e-2¹ sin3t
s²2s+4
(s + 1)(s + 2)²
f(t) = 7e-¹-6-2t - 12te-2t
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