DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{{t)} = e-s*f(t) dt is said to be the Laplace transform of f, provided that the integral conve to find L{f(t)}. (Write your answer as a function of s.) So, ost< n/2 t2 π/2 f(t) = | cos(t), L{f(t)} = (s > 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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LIRC)} =
Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t 2 0. Then the integral
e-stf(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.)
So,
f(t)
0st< n/2
cos(t),
t> π/2
L{f(t)} =
(s > 0)
Transcribed Image Text:LIRC)} = Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral e-stf(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.) So, f(t) 0st< n/2 cos(t), t> π/2 L{f(t)} = (s > 0)
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