Let f be a function defined for t 2 0. Then the integral LEMC)} = | e-strt) dt is said to be the Laplace transform of f, provided that the integral converges. F(e) = {: S9, 0st< 3 lo, t2 3 Complete the integral(s) that defines L{f(t)}. 3 L{f(t)} = 0.e-8t dt 3 Find L{f(t)}. (Write your answer as a function of s.) L{(t)} (s > 0)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f be a function defined for t 2 0. Then the integral
LEME)} = | e-strt) dt
is said to be the Laplace transform of f, provided that the integral converges.
S9, 0st< 3
f(t) = 10, tz 3
Complete the integral(s) that defines L{f(t)}.
3
L{f(t)} =
0.e-8t
dt
3
Find L{f(t)}. (Write your answer as a function of s.)
L{(t)}
(s > 0)
Transcribed Image Text:Let f be a function defined for t 2 0. Then the integral LEME)} = | e-strt) dt is said to be the Laplace transform of f, provided that the integral converges. S9, 0st< 3 f(t) = 10, tz 3 Complete the integral(s) that defines L{f(t)}. 3 L{f(t)} = 0.e-8t dt 3 Find L{f(t)}. (Write your answer as a function of s.) L{(t)} (s > 0)
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