Using partial fractions where required determine x(t) for the following Laplace functions. s(s+1) (s+2)(s+3)(s+4) (a) (b) (c) x(s) = S+2 (s+1)² 1 S² + S+1 c+1 x(s) =- x(s) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using partial fractions where required determine x(t) for the following Laplace functions.
s(s+1)
(s+2)(s+3)(s+4)
(a)
S+2
(s+1)²
1
x(s) = s² +s+1
s+1
x(s)=-
s(s+4)(s+3)
Plot the 4 functions x(t) over the range of t from 0 to 3.
(b)
x(s) =
(c)
(d)
x(s) =
-0.5s
e
Transcribed Image Text:Using partial fractions where required determine x(t) for the following Laplace functions. s(s+1) (s+2)(s+3)(s+4) (a) S+2 (s+1)² 1 x(s) = s² +s+1 s+1 x(s)=- s(s+4)(s+3) Plot the 4 functions x(t) over the range of t from 0 to 3. (b) x(s) = (c) (d) x(s) = -0.5s e
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