Inverse Laplace Transform-Signals And Systems-Lecture Slides, Slides for Signals and Systems Theory. Fakir Mohan University, Balasore

Signals and Systems Theory

Description: Prof. Sahendra Agneya delivered this lecture at Fakir Mohan University, Balasore for Signals and Systems course. Inverse, Laplace, Transform, Function, Defined, Linear, Operator, Initial, Value, Problem
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1
Consider a given function F(s), is it possible to
find a function f(t) defined on [0, ), such that
If this is possible, we say f(t) is the inverse
Laplace transform of F(s), and we write
Inverse Laplace Transform
? )()}({ sFtfL
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2
First we note that the Inverse Laplace
Transform is a “ Linear Operator”.
Some Examples.
,
ss
s
. F(s)
,
b(s-a)
b
. F(s)
,
b(s-a)
s-a
. F(s)
102
23
3
2
1
2
22
22
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3
Consider the Initial Value Problem:
We shall use Laplace Transform and Inverse
Laplace Transform to solve this I.V.P.
Applications
.12)0(' ,2)0(
;85'2"
yy
eyyy t
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4
Given the following I.V.P: (#36, P. 406)
Next let us consider a D.E. with
variable coefficents
. 1)0('
2)0(
2'"
y
y
ytyty
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University: Fakir Mohan University, Balasore
Upload date: 17/07/2012
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