Use Definition DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 20. Then the integral L{f(t)} = *® e-stf(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.) 7, f(t) = 10, L{f(t)} = 0 0)

Advanced Engineering Mathematics
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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{f(t)} = *® e-stf(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.)
S7, 0 ≤t <3
t≥ 3
L{f(t)}
f(t) =
10,
(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 L{f(t)} = *® e-stf(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.) S7, 0 ≤t <3 t≥ 3 L{f(t)} f(t) = 10, (s > 0)
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