Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} £{f(t)} = = 8 6° 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) = et + 2 (s > 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
L{f(t)} =
£{f(t)} =
1 e-stf(t)
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) = et + 2
dt
(s > 1)
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 L{f(t)} = £{f(t)} = 1 e-stf(t) 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) = et + 2 dt (s > 1)
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