laplace transforms & inverse

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12 Terms

1
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1

1/s

2
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e^at

1/s-a

3
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t^n

n!/s^n+1

4
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sin at

a/s²+a²

5
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cosat

s/s²+a²

6
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sinhat

a/s²-a²

7
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coshat

s/s²-a²

8
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e^at sin bt

b/(s-a)²+b²

9
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e^at cosbt

s-a/(s-a)²+b²

10
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t^ne^at

n!/(s-a)^n+1

11
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e^ct f(t)

F(s-c)

12
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t^n f(t)

(-1)^nF^n (s)