Use Definition 7.1.1. DEFINIΤION 7.1.1 Let f be a function defined for t 2 0. Then the integral Laplace Transform L{f{t)} = | e-stflt) 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.) S8, 0st< 3 10, tz 3 f(t)

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Chapter2: Second-order Linear Odes
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Use Definition 7.1.1.
DEFINIΤION 7.1.1
Let f be a function defined for t 2 0. Then the integral
Laplace Transform
L{Mt)} = |"
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.)
J8,
0 st< 3
f(t) =
0,
t2 3
Transcribed Image Text:Use Definition 7.1.1. DEFINIΤION 7.1.1 Let f be a function defined for t 2 0. Then the integral Laplace Transform L{Mt)} = |" 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.) J8, 0 st< 3 f(t) = 0, t2 3
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