17 ICA • Using the equations on the previous pages, what do you get for A, B and C? A (s + 1)2 s=-2 B = s + 2 s=-1 d C = ds \s + 2 2 s=-1

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Need help to find a,b,c. Steps would be appreciated. 

Partial Fraction Expansion with Repeated Roots
• You obtain A and B by the usual method (multiply X(s) by their
denominators and eval at root).
2
A =
(s + 1)²,
s=-2
2
B =
s + 2
s=-1
16
PFE with Repeated Roots
• To obtain C, multiply X(s) by B's denominator, (s+1)² in this case, and
then take the derivative wrt s. Evaluate the derivative at s = root (-1 in
this case).
d
2
C
ds \s + 2
= -
s=-1
17
ICA
Using the equations on the previous pages, what do you get for A, B
and C?
A =
(s + 1)²
s=-2
2
В —
s + 2
Is=-1
d
C =
ds \s + 2,
2
s=-1
Transcribed Image Text:Partial Fraction Expansion with Repeated Roots • You obtain A and B by the usual method (multiply X(s) by their denominators and eval at root). 2 A = (s + 1)², s=-2 2 B = s + 2 s=-1 16 PFE with Repeated Roots • To obtain C, multiply X(s) by B's denominator, (s+1)² in this case, and then take the derivative wrt s. Evaluate the derivative at s = root (-1 in this case). d 2 C ds \s + 2 = - s=-1 17 ICA Using the equations on the previous pages, what do you get for A, B and C? A = (s + 1)² s=-2 2 В — s + 2 Is=-1 d C = ds \s + 2, 2 s=-1
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