DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} = | e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. o find L{f(t)}. (Write your answer as a function of s.) (cos(t), f(t) = lo, 0 0) 2+1
DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} = | e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. o find L{f(t)}. (Write your answer as a function of s.) (cos(t), f(t) = lo, 0 0) 2+1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
£{f{t)} = | e-str(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
to find L{f(t)}. (Write your answer as a function of s.)
Scos(t),
f(t) =
lo,
0 st< n
t > n
+1]
S
TTS
S
L{f(t)} =
(s > 0)
2+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F476a7a93-3242-4b81-b338-34642657d3b8%2Fc39463f1-183c-4035-8b0a-6ff1afc6753c%2F2ms9i_processed.png&w=3840&q=75)
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
£{f{t)} = | e-str(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
to find L{f(t)}. (Write your answer as a function of s.)
Scos(t),
f(t) =
lo,
0 st< n
t > n
+1]
S
TTS
S
L{f(t)} =
(s > 0)
2+1
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