Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use Definition 7.1.1.
SEM
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
L{f(t)}
£{f(t)} =
- Love e-stf(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
Find £{f(t)}. (Write your answer as a function of s.)
f(t) = (-1;
1,
Need Help?
0 ≤t<1
t≥ 1
Read It
X (s > 0)
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Transcribed Image Text:Use Definition 7.1.1. SEM DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} £{f(t)} = - Love e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) f(t) = (-1; 1, Need Help? 0 ≤t<1 t≥ 1 Read It X (s > 0)
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