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Find the inverse Laplace transform of 4s+2 F(s) = 42s+5 e-t cos 2t – 4e-t sin 2t 4e-t cos 2t + e-t sin 2t 2. seçenek 3. seçenek 4e-t cos 2t – e-t sin 2t e-t cos 2t +2e-t sin 2t O 4. seçenek O 1. seçenek

Find the inverse Laplace transform of 4s+2 F(s) = 42s+5 e-t cos 2t – 4e-t sin 2t 4e-t cos 2t + e-t sin 2t 2. seçenek 3. seçenek 4e-t cos 2t – e-t sin 2t e-t cos 2t +2e-t sin 2t O 4. seçenek O 1. seçenek

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Laplace Transforms Laplace Transfor ms F(s) = L{f(t)} 2 as (g2 + a?)2 F(s) = L{f(t)} f(t) f(t) Cif(t) + Cg(t) CF(s) + CG(s) tsin at F(s - k) 1 cos at g2 + a? s - k f(kt) k cosat dF(s) (s – k)² + a² tf(t) ds g2 - a? t cos at d"F(s) (-1)"- ds" (s2 + a² )² a sinh at 2 - a? F(s)ds coshat s2 - at F(s) u(t - to) 1 u(t – to)f(t - o) e-F(s) 1 8(t – to) T(a + 1) 1 go, a > - 1 At), periodic of period p e-"f(t)dt ga+1 1 - e-ps -1/2 f'(t) sF(s) - K0) V sF(s) – sf(0) - f(0) s"F(s) – s*-f0) - f" (t) 1 F(s)G(s)
Transcribed Image Text:Laplace Transforms Laplace Transfor ms F(s) = L{f(t)} 2 as (g2 + a?)2 F(s) = L{f(t)} f(t) f(t) Cif(t) + Cg(t) CF(s) + CG(s) tsin at F(s - k) 1 cos at g2 + a? s - k f(kt) k cosat dF(s) (s – k)² + a² tf(t) ds g2 - a? t cos at d"F(s) (-1)"- ds" (s2 + a² )² a sinh at 2 - a? F(s)ds coshat s2 - at F(s) u(t - to) 1 u(t – to)f(t - o) e-F(s) 1 8(t – to) T(a + 1) 1 go, a > - 1 At), periodic of period p e-"f(t)dt ga+1 1 - e-ps -1/2 f'(t) sF(s) - K0) V sF(s) – sf(0) - f(0) s"F(s) – s*-f0) - f" (t) 1 F(s)G(s)
Find the inverse Laplace transform of Laplace Transform table F(s) : 4s+2 s2+2 s+5 2 || n! t",n = 1, 2, 3, ... n+1 1 eat S - a *eat, n = 1,2,3,... n! e-t cos 2t – 4e¬t sin 2t 4e-t cos 2t + e-t sin 2t (s - a)2+1 a sin at 2 + a? a ele sin at (s - k)? + a? 2. seçenek 3. seçenek 4e-t cos 2t – e-t sin 2t e-t cos 2t + 2e sin 2t 4. seçenek 1. seçenek
Transcribed Image Text:Find the inverse Laplace transform of Laplace Transform table F(s) : 4s+2 s2+2 s+5 2 || n! t",n = 1, 2, 3, ... n+1 1 eat S - a *eat, n = 1,2,3,... n! e-t cos 2t – 4e¬t sin 2t 4e-t cos 2t + e-t sin 2t (s - a)2+1 a sin at 2 + a? a ele sin at (s - k)? + a? 2. seçenek 3. seçenek 4e-t cos 2t – e-t sin 2t e-t cos 2t + 2e sin 2t 4. seçenek 1. seçenek
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