Inverse Laplace Transformation Problem

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OjBinge
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Does anyone know the inverse laplace transformation of the following:

(se^-s)/(s^(2)+1)
 
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done

Hi;
This is the answer to your problem. Done by Maple 9.
Best of luck,
Max.
 

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pull out the [itex]e^{-s}[/itex] leaving:

[tex]L^{-1}{ \{ \frac{s}{s^2+1} \}=f(t-a)[/tex]

Now, the e can be converted to a unit step function [itex]U(t-a)[/itex], and f(s-a) should be apparent.

Combine the unit step function with F(s) to get an end result.