Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral LARE)} = | e-strt) dt is said to be the Laplace transform of f, provided that the integral converge Find {f{t)}. (Write your answer as a function of s.) {Rt)} = (s > 0) f(t) + (2, 2) 1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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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{ME)} = | e-s*t) 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.)
L{f{t)} =
(s > 0)
f(t) 4
(2, 2)
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{ME)} = | e-s*t) 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.) L{f{t)} = (s > 0) f(t) 4 (2, 2) 1
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