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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} = * * e-stf(t)\ dt е Jo is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)}. (Write your answer as a function of s.) f(t) = t²e-7t L{f(t)} = (s> -7)

DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} = * * e-stf(t)\ dt е Jo is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)}. (Write your answer as a function of s.) f(t) = t²e-7t L{f(t)} = (s> -7)

Advanced Engineering Mathematics
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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7.1.5

Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} = fe-stf(t) dt е 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) = t²e-7t (s > −7)
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{f(t)} = fe-stf(t) dt е 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) = t²e-7t (s > −7)
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