f(t) = t, 0 st < 1 1, t2 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Definition 7.1.1.
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
f(t)
L{f(t)} =
- 16th e
is said to be the Laplace transform of f, provided that the integral converges.
Find L{f(t)}. (Write your answer as a function of s.)
=
L{f(t)} =
e-stf(t) dt
t, 0 < t < 1
1,
t≥ 1
(s > 0)
Transcribed Image Text:Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral f(t) L{f(t)} = - 16th e is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) = L{f(t)} = e-stf(t) dt t, 0 < t < 1 1, t≥ 1 (s > 0)
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