DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} = *® e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) - {8, f(t)= = L{f(t)} = 8, 0≤t<3 0, t≥ 3 (s > 0)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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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
L({1(1)} = "h e-stf(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
Find L{f(t)}. (Write your answer as a function of s.)
f(t)
L{f(t)} =
√8, 0<t<3
t23
(s > 0)
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 L({1(1)} = "h e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) f(t) L{f(t)} = √8, 0<t<3 t23 (s > 0)
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