Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)} e-strt) dt 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.) 19, 0st< 3 f(t) 10, t 3 %3D LE(t)} (s > 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Intro to Diff Equation
Use Definition 7.1.1.
DEFINITION 7.1.1
Laplace Transform
Let f be a function defined for t 2 0. Then the integral
L{f(t)}
e-strt) dt
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.)
T9, 0st< 3
f(t) :
10, t 3
L{(t)}
(s > 0)
Transcribed Image Text:Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)} e-strt) dt 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.) T9, 0st< 3 f(t) : 10, t 3 L{(t)} (s > 0)
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