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3 cosh 2t 3s 2) -4

3 cosh 2t 3s 2) -4

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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Find the Inverse Laplace Transforms of the following : Please solve problem number 2 only. Answer are already given on its side. Thanks!
Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) 4et F(s) f(t) 4 1) S-3 48 – 60V5 4) 32 % 8t° 6 cos 3t – 18 sin 3t 3s 2) s? - 4 3s +3s 3) 3 cosh 2t 6s - 54 5) s? +9 3s +9 6) s? +5 9/5 -sin 5t 5 3 cos 5t + 8 Completing the Square and Translations F(s) 10s +15 1) s? – 2s +5 f(t) F(s) f(t) 25 10e' cos 2t +e' sin2t 4) s? – 2s +9 e' sin2/2t 2 V2s e% 5 +te % 2 VZe' cos Zt + e' sin žt 2) s? – 2s + 3 4s+ 12 5) 4s? +4s+1 5. V10 12s - 24 6) s? +16 S+2 12cos4t – 6sin4t 3) 2s? + 4s + 7 cos,t+ 10 sin, Partial Fractions f(t) 10(e-10t -e 201) F(s) 100 1) (s+10)(s+ 20) s? - 2s +5 2) (s-2)° 5 e + 2te" +t'et 4s +3 3) (s– 1)(s² + 1) 7 7 -e' t+-sint - cost+- 2 5 sint-e sin2t s? + 2s +7 1 4) (s? +2s + 2)(s? + 2s+ 5) 2 e- cost + sint 5) (s + 1)(s² +1) 2s + 42 6) 2s? – 7s - 15 4e – 3e % 4 1- cos 2t 7) s(s² + 4) 2 e*- cost + sint 8) (s+ 1)(s² +1)
Transcribed Image Text:Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) 4et F(s) f(t) 4 1) S-3 48 – 60V5 4) 32 % 8t° 6 cos 3t – 18 sin 3t 3s 2) s? - 4 3s +3s 3) 3 cosh 2t 6s - 54 5) s? +9 3s +9 6) s? +5 9/5 -sin 5t 5 3 cos 5t + 8 Completing the Square and Translations F(s) 10s +15 1) s? – 2s +5 f(t) F(s) f(t) 25 10e' cos 2t +e' sin2t 4) s? – 2s +9 e' sin2/2t 2 V2s e% 5 +te % 2 VZe' cos Zt + e' sin žt 2) s? – 2s + 3 4s+ 12 5) 4s? +4s+1 5. V10 12s - 24 6) s? +16 S+2 12cos4t – 6sin4t 3) 2s? + 4s + 7 cos,t+ 10 sin, Partial Fractions f(t) 10(e-10t -e 201) F(s) 100 1) (s+10)(s+ 20) s? - 2s +5 2) (s-2)° 5 e + 2te" +t'et 4s +3 3) (s– 1)(s² + 1) 7 7 -e' t+-sint - cost+- 2 5 sint-e sin2t s? + 2s +7 1 4) (s? +2s + 2)(s? + 2s+ 5) 2 e- cost + sint 5) (s + 1)(s² +1) 2s + 42 6) 2s? – 7s - 15 4e – 3e % 4 1- cos 2t 7) s(s² + 4) 2 e*- cost + sint 8) (s+ 1)(s² +1)
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