to find L{f(t)}. (Write your answer as a function of s.) 0, (cos(t), L{f(t)} = f(t) = 0 ≤ t < π/2 t> π/2 (s > 0)
to find L{f(t)}. (Write your answer as a function of s.) 0, (cos(t), L{f(t)} = f(t) = 0 ≤ t < π/2 t> π/2 (s > 0)
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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Transcribed Image Text:Use Definition 7.1.1,
L{f(t)}
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
=
6.0⁰ 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,
cos(t),
L{f(t)} =
f(t) =
0 ≤ t < π/2
t≥ π/2
(s > 0)
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