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Use the transforms in the table below to find the inverse Laplace trans form of the following function F(s) = 9 56

Use the transforms in the table below to find the inverse Laplace trans form of the following function F(s) = 9 56

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 45E
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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 below to find the inverse Laplace trans form of the following function. F(s) = 360 -
Transcribed Image Text:Use the transforms in the table below to find the inverse Laplace trans form of the following function. F(s) = 360 -
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