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ind the inverse Laplace transform f(t) of each function giv n Problems 1 through 10. Then sketch the graph of f. 1. F(s): = 3. F(s) = e -3.s $2 e-s S+2 2. F(s) = = 4. F(s) = = e-se-3s $2 e-se²-2s S-1

ind the inverse Laplace transform f(t) of each function giv n Problems 1 through 10. Then sketch the graph of f. 1. F(s): = 3. F(s) = e -3.s $2 e-s S+2 2. F(s) = = 4. F(s) = = e-se-3s $2 e-se²-2s S-1

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 transform f(t) of each function given in Problems 1 through 10. Then sketch the graph of f. -3.s 1. F(s) 3. F(s) 5. F(s) 7. F(s) 9. F(s) = = = = = 52 e -S S + 2 -TS e s²+1 1 -2πS s² + 1 s(1+e=3s) s² + π 2. F(s) 4. F(s) 8. F(s) = 6. F(s) = = 10. F(s) = = = e S e S² S-1 -S 2s(e -3s e²-2s se s² +π² s(1 — e−2s) - s² +π² -TS e-2πs) s² +4
Transcribed Image Text:Find the inverse Laplace transform f(t) of each function given in Problems 1 through 10. Then sketch the graph of f. -3.s 1. F(s) 3. F(s) 5. F(s) 7. F(s) 9. F(s) = = = = = 52 e -S S + 2 -TS e s²+1 1 -2πS s² + 1 s(1+e=3s) s² + π 2. F(s) 4. F(s) 8. F(s) = 6. F(s) = = 10. F(s) = = = e S e S² S-1 -S 2s(e -3s e²-2s se s² +π² s(1 — e−2s) - s² +π² -TS e-2πs) s² +4
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