Find £{f(t)}. (Write your answer as a function of s.) f(t) = et + 2 L{f(t)} = (s > 1)
Find £{f(t)}. (Write your answer as a function of s.) f(t) = et + 2 L{f(t)} = (s > 1)
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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7.1.3
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)} =
=
· Sº 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
£{f(t)} =
(s > 1)
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