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of L {Fs L{ ft ( ) L {Fs L - Lamar University

Table of laplace Transforms ()(){}1ftFs-=L ()(){}Fsft=L ()(){}1ftFs-=L ()(){}Fsft=L 1. 1 1s 2. ate 1sa- 3. ,1,2,3,ntn=K 1!nns+ 4. pt, p > -1 ()11pps+G+ 5. t 322sp 6. 12,1,2,3,ntn-=K ()12135212nnnsp+ -L 7. ()sinat 22asa+ 8. ()cosat 22ssa+ 9. ()sintat ()2222assa+ 10. ()costat ()22222sasa-+ 11. ()()sincosatatat- ()32222asa+ 12. ()()sincosatatat+ ()22222assa+ 13. ()()cossinatatat- ()()22222ssasa-+ 14. ()()cossinatatat+ ()()222223ssasa++ 15. ()sinatb+ ()()22sincossbabsa++ 16. ()cosatb+ ()()22cossinsbabsa-+ 17. ()sinhat 22asa- 18. ()coshat 22ssa- 19. ()sinatbte ()22bsab-+ 20. ()cosatbte ()22sasab--+ 21. ()sinhatbte ()22bsab-- 22. ()coshatbte ()22sasab--- 23. ,1,2,3,nattn=eK ()1!nnsa+- 24. ()fct 1sFcc 25. ()()cututc=- Heaviside Function css-e 26. ()tcd- Dirac Delta Function cs-e 27. ()()cutftc- ()csFs-e 28. ()()cutgt (){}csgtc-+eL 29. ()ctfte ()Fsc- 30.

Table Notes 1. This list is not a complete listing of Laplace transforms and only contains some of the more commonly used Laplace transforms and formulas.

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