Determine the inverse Laplace Transform for the following functions by using partial fraction expansion method. 7 12 a) F(s) =- b) F(s) = (s+1)(s +7) s(s+ 2)(s +6) 68 0.5(s+6) c) F(s) = s(s?. d) F(s) =- s?(s +1)(s +3) s(s? +6s +34)

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Problem #6
Determine the inverse Laplace Transform for the following functions by using partial
fraction expansion method.
7
12
a) F(s) =
b) F(s) =-
(s+1)(s +7)
s(s+2)(s +6)
0.5(s +6)
s?(s +1)(s +3)
68
c) F(s) =
d) F(s)=-
s(s' +6s +34)
10(s+5)
10(s +3)
e) F(s)=
f) F(s)=
s?(s? +6s+25)
(s +1)(s² +8s +20)
30
15(s+ 2)
g) F(s)=
h) F(s) =-
s (s +15)(s + 6s +10)
s?(s +3)(s +6s +10)
10(s? +4.1s + 5)
s(s +1)(s + 4s + 5)
10(s +2.02)
i) F(s) =-
j) F(s)=
s(s +2)(s +2s +10)
Transcribed Image Text:Problem #6 Determine the inverse Laplace Transform for the following functions by using partial fraction expansion method. 7 12 a) F(s) = b) F(s) =- (s+1)(s +7) s(s+2)(s +6) 0.5(s +6) s?(s +1)(s +3) 68 c) F(s) = d) F(s)=- s(s' +6s +34) 10(s+5) 10(s +3) e) F(s)= f) F(s)= s?(s? +6s+25) (s +1)(s² +8s +20) 30 15(s+ 2) g) F(s)= h) F(s) =- s (s +15)(s + 6s +10) s?(s +3)(s +6s +10) 10(s? +4.1s + 5) s(s +1)(s + 4s + 5) 10(s +2.02) i) F(s) =- j) F(s)= s(s +2)(s +2s +10)
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