Laplace transformation t^(3/2)

  • Thread starter jrsweet
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  • #1
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Homework Statement


Just a quick question concerning a Laplace transformation...
Find the Laplace transform of the following function:
f(t)=10t3/2-e(-7t)


Homework Equations





The Attempt at a Solution


I wasn't sure what to do with the t3/2 so I just followed the formula for t1/2 and I got this:

(10pi(3/2))/(2s5/2)-(1/(s+7))

Is there anything wrong with this?
 

Answers and Replies

  • #2
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t1/2 and t3/2 are different functions, so it should be expected that their Laplace transforms would be different.
L{tk - 1} = [itex]\Gamma[/itex](k)/sk, where [itex]\Gamma[/itex] represents the gamma function.

[tex]\Gamma(z)~=~\int_0^{\infty} t^{z - 1}~e^{-t}dt[/tex]
Hope that helps.
 

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