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Use the transforms in the table bellow to find the inverse Laplace transform of the following function. F(s) = 5-5s S² +25 The inverse Laplace transform of the function is f(t) =

Use the transforms in the table bellow to find the inverse Laplace transform of the following function. F(s) = 5-5s S² +25 The inverse Laplace transform of the function is f(t) =

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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f(t) 1 t" (n ≥0) ta (a> -1) at cos kt sin kt cosh kt sinh kt u(t-a) Brief table of Laplace transforms F(s) = L{f(t)} 1 S 1 2 S S n! n+1² S S S>0 г(а+1) a +1 " 2 S 1 s-a S ² +K ² 2 k S>0 2 S + k S e " S S>0 as 2 k s²-K² 2 2 S 2 ·K² " s>a " " " S>0 S>0 S>0 s> |k| > |k| S> S>0
Transcribed Image Text:f(t) 1 t" (n ≥0) ta (a> -1) at cos kt sin kt cosh kt sinh kt u(t-a) Brief table of Laplace transforms F(s) = L{f(t)} 1 S 1 2 S S n! n+1² S S S>0 г(а+1) a +1 " 2 S 1 s-a S ² +K ² 2 k S>0 2 S + k S e " S S>0 as 2 k s²-K² 2 2 S 2 ·K² " s>a " " " S>0 S>0 S>0 s> |k| > |k| S> S>0
Use the transforms in the table bellow to find the inverse Laplace transform of the following function. F(s) = 5-5s S² +25 The inverse Laplace transform of the function is f(t)=
Transcribed Image Text:Use the transforms in the table bellow to find the inverse Laplace transform of the following function. F(s) = 5-5s S² +25 The inverse Laplace transform of the function is f(t)=
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