f(t) = 4t – 5 %3D L{f(t)} = %3D

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 6WE
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Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.)
f(t) = 4t - 5
L{f(t)}
%3D
Transcribed Image Text:Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = 4t - 5 L{f(t)} %3D
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{Ht)} = | e-stre) dt
0.
is said to be the Laplace transform of f, provided that the integral converges.
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{Ht)} = | e-stre) dt 0. is said to be the Laplace transform of f, provided that the integral converges.
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