Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)} = -[₁ is said to be the Laplace transform of f, provided that the integral converges. L{f(t)} = to find L{f(t)}. (Write your answer as a function of s.) So, f(t)= e-stf(t) dt cos(t), Ost 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t 2 0. Then the integral
L{f(t)} =
-[₁
is said to be the Laplace transform of f, provided that the integral converges.
L{f(t)} =
to find {f(t)}. (Write your answer as a function of s.)
f(t)=
e-stf(t) dt
cos(t),
Ost<n/2
t> π/2
(s > 0)
Transcribed Image Text:Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)} = -[₁ is said to be the Laplace transform of f, provided that the integral converges. L{f(t)} = to find {f(t)}. (Write your answer as a function of s.) f(t)= e-stf(t) dt cos(t), Ost<n/2 t> π/2 (s > 0)
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