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) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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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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