One property of Laplace transforms can be expressed in terms of the inverse Laplace dF transform as £ £¯¹{F}. F(s) = In 1 S+ 5 S+2 ·}(t) = ( − t)^f(t), where f = £¯¹{F}. Use this equation to compute n ds'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
One property of Laplace transforms can be expressed in terms of the inverse Laplace
dF
transform as £
£¯¹{F}.
F(s) = In
1
S + 5
S+2
·}(t) = ( − t)^f(t), where f = £¯¹{F}. Use this equation to compute
n
ds'
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Transcribed Image Text:One property of Laplace transforms can be expressed in terms of the inverse Laplace dF transform as £ £¯¹{F}. F(s) = In 1 S + 5 S+2 ·}(t) = ( − t)^f(t), where f = £¯¹{F}. Use this equation to compute n ds' Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
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