Question
Asked Nov 14, 2019
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What will be the inverse laplace transform of

Z(s)=45/s(s+4)2. RoC: Re(s)>0

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Expert Answer

Step 1

There are various ways of performing inverse Laplace Transform. Partial Fraction Expansion (PFE) is one of them. According to this method, the given transfer function Z(s) can be expressed in the following way:

45
A
В
С
Z(s)=
s(s+4)
A, B,C Constants
(1)
S 4 s4)
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45 A В С Z(s)= s(s+4) A, B,C Constants (1) S 4 s4)

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Step 2

The value of the constant A will be

45
45
-2.812- (2)
16
A =
(s+4)
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45 45 -2.812- (2) 16 A = (s+4)

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Step 3

The value of the constant ...

c
45
C =
45
-11.25-(3)
-4
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c 45 C = 45 -11.25-(3) -4

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