(+) = { i 4. (*) f(t) = 0 < t < 1 t21

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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§3.1 - LAPLACE TRANSFORM
In problems 1-5, use the integral definition of the Laplace transform to determine L{f(t)}.
1. f(t) = t
2. f(t) = 1²
3. f(t) = eat
-{{
4. (*) f(t) =
=
5. f(t) = e¹ sint
0 < t < 1
t>1
PROBLEM SET 3.1
In problems 6-10, use the results given in class to determine L{f(t)}.
6. f(t) = 2t4
7. f(t)t² + 6t - 3
8. f(t) = (t + 1)³
9. f(t)= (1+e2t)2
10. f(t) = e sinh t
Transcribed Image Text:§3.1 - LAPLACE TRANSFORM In problems 1-5, use the integral definition of the Laplace transform to determine L{f(t)}. 1. f(t) = t 2. f(t) = 1² 3. f(t) = eat -{{ 4. (*) f(t) = = 5. f(t) = e¹ sint 0 < t < 1 t>1 PROBLEM SET 3.1 In problems 6-10, use the results given in class to determine L{f(t)}. 6. f(t) = 2t4 7. f(t)t² + 6t - 3 8. f(t) = (t + 1)³ 9. f(t)= (1+e2t)2 10. f(t) = e sinh t
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