al Fractions F(s) 100 1) (s+10)(s+ 20) s? - 2s +5 2) (s-2)" 4s +3 3) (s – 1)(s² + 1) s? + 2s +7 4) (s° +2s + 2)(s? + 2s+5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve problem number 2 only. Thanks!
Partial Fractions
F(s)
f(t)
100
10(e 101 -e 201)
1)
(s+10)(s+ 20)
s? - 2s +5
2)
(s– 2)°
e + 2te? +te*
2
4s +3
7
3)
(s – 1)(s² +1)
- cost+- sint
2
2
s + 2s +7
e sint-e sin 2t
4)
(s² +2s + 2)(s² + 2s + 5)
e- cost+ sint
5)
(s+ 1)(s² +1)
2s + 42
6)
2s? – 7s – 15
4e" - Зе
4
1- cos 2t
7)
s(s² + 4)
e*- cost + sint
8)
(s + 1)(s² +1)
Transcribed Image Text:Partial Fractions F(s) f(t) 100 10(e 101 -e 201) 1) (s+10)(s+ 20) s? - 2s +5 2) (s– 2)° e + 2te? +te* 2 4s +3 7 3) (s – 1)(s² +1) - cost+- sint 2 2 s + 2s +7 e sint-e sin 2t 4) (s² +2s + 2)(s² + 2s + 5) e- cost+ sint 5) (s+ 1)(s² +1) 2s + 42 6) 2s? – 7s – 15 4e" - Зе 4 1- cos 2t 7) s(s² + 4) e*- cost + sint 8) (s + 1)(s² +1)
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