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(s- 2)* S +35 -S-3 (s² +2s +5) Ans. f(t)=e"(cos(2r)- 2t sin(21) 22) F(s) = %3D s-7s' +14s -9 (s – 1) (s – 2) Ans. f(t)= te'-0.5r e" 23) F(s)= 144

(s- 2)* S +35 -S-3 (s² +2s +5) Ans. f(t)=e"(cos(2r)- 2t sin(21) 22) F(s) = %3D s-7s' +14s -9 (s – 1) (s – 2) Ans. f(t)= te'-0.5r e" 23) F(s)= 144

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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12) F(s) = Ans. f(t)=e (cos(t)- 3 sin(t) (s+3) +1 2<t< 4 10 2(e-e) (2 13) F(s) = Ans. f(t) = elsewhere t-a Ans. f(1)=- t>a eas 14) F(s)= 『くa 143 Mathematics Electrical & Electronic Engineering Department Second Year Dr. Atheer Alaa Sabri t-1 1<t< 2 (e +e-3e+e") 2t-3 2<t<3 Ans. f(t)=- 6-t 15) F(s) = 3<t<6 elsewhere se** [cos(2t) 16) F(s)= Ans. f(t) = s2 +4 elsewhere -e** sint) t>て 17) F(s) = Ans. f(t)=- s +2s + 2 elsewhere s+12 18) F(s) =- Ans. f(t) = 3- 2e s? +4s 3s 19) F(s) = Ans. f(t) = 2e +e" s2 + 2s -8 3s -2s -1 (s- 3)(s² +1) 20) F(s) =- Ans. f(t) = 2e" +cos(t) + sin(t) 10-4s 21) F(s) = (s- 2) Ans. f(1) = e" (21 -4) S +35 -s-3 (s + 2s+5)? 22) F(s) = Ans. f(1) =e"(cos(2t)- 2t sin(2r) s' -7s +14s-9 (s – 1)°(s – 2)' 23) F(s) = Ans. f(1) = te' -0.51'e" 144
Transcribed Image Text:12) F(s) = Ans. f(t)=e (cos(t)- 3 sin(t) (s+3) +1 2<t< 4 10 2(e-e) (2 13) F(s) = Ans. f(t) = elsewhere t-a Ans. f(1)=- t>a eas 14) F(s)= 『くa 143 Mathematics Electrical & Electronic Engineering Department Second Year Dr. Atheer Alaa Sabri t-1 1<t< 2 (e +e-3e+e") 2t-3 2<t<3 Ans. f(t)=- 6-t 15) F(s) = 3<t<6 elsewhere se** [cos(2t) 16) F(s)= Ans. f(t) = s2 +4 elsewhere -e** sint) t>て 17) F(s) = Ans. f(t)=- s +2s + 2 elsewhere s+12 18) F(s) =- Ans. f(t) = 3- 2e s? +4s 3s 19) F(s) = Ans. f(t) = 2e +e" s2 + 2s -8 3s -2s -1 (s- 3)(s² +1) 20) F(s) =- Ans. f(t) = 2e" +cos(t) + sin(t) 10-4s 21) F(s) = (s- 2) Ans. f(1) = e" (21 -4) S +35 -s-3 (s + 2s+5)? 22) F(s) = Ans. f(1) =e"(cos(2t)- 2t sin(2r) s' -7s +14s-9 (s – 1)°(s – 2)' 23) F(s) = Ans. f(1) = te' -0.51'e" 144
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