Table 2 Laplace Transform Pairs + Properties of Laplace Transforms

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Table 2-1 Laplace Transform Pairs

1. 2.

1

Unit impulse Unit step

3. 4. 5. 6. 7. 8. 9. 10. sin 11. 12. 13. 14.



√ 15.

-



(



)



16.

1-



(

√ √

)

Table 2-2 Properties of Laplace Transforms

1.

[

2 3

] ̇ ̇

[

]

[

]



where 4

[∫

]

5 6

[∫

if ∫ [

]

[

] [

10

[

11

[

12

[

] ]

] ]



13

if [ ( )]

14

[∫ [

] ]

]

]



7 8 9

15

[∫



exists

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