Thread: Inverse Laplace of this function

Hi,

I've looked through the transform tables, and haven't been able to figure out how to find the inverse:

Thanks for any help.

Originally Posted by algorithm

Hi,

I've looked through the transform tables, and haven't been able to figure out how to find the inverse:

Thanks for any help.

What exactly are you trying to find the inverse transform of? What's the X(s) doing there?

If the problem is to find the inverse transform of


Note that


The second term is simple enough. You may need to look up the inverse transform of 1. It is .

-Dan

Hi

Thanks.

Originally Posted by lilaziz1

Should the "s" be "n(t)"?

Originally Posted by topsquark

What exactly are you trying to find the inverse transform of? What's the X(s) doing there?

X(s) is an arbitrary function. I want to see how it is affected in the time domain by this multiplication. For example, if I had "sX(s)", then in the time domain it would be d/dt of x(t).

Originally Posted by algorithm

Hi,

I've looked through the transform tables, and haven't been able to figure out how to find the inverse:

Thanks for any help.

If that is the cases you can use the convolution theorem to bring this back to the time domain. Using Topsquark's idea gives



So now taking the inverse transform gives