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)} L{f(t)} = [oe e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) (5, f(t) 0, 0 ≤t<3 t≥ 3 (s > 0)
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)} L{f(t)} = [oe e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) (5, f(t) 0, 0 ≤t<3 t≥ 3 (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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7.1.1
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