Inverse Laplace transform Help

[Icy950]

I couldn't figure the sol'n for this problem
Could somebody help?
Thanks a lot

Find the following Inverse Laplace transform

(L^(-1))*[1/(4s+1)]

 

[FrogPad]

I couldn't figure the sol'n for this problem
Could somebody help?
Thanks a lot

Find the following Inverse Laplace transform

(L^(-1))*[1/(4s+1)]

That's almost direct from a table...

or are you doing these by hand?

 

[Icy950]

I'm trying to do this by hand
Hopefully I can get some help
Thanks a lot

 

[FrogPad]

Well you will definitely need to show some work.

Also, you should check out LaTeX in the tutorial section. Then you can show your work as:

\frac{1}{4s+1}

 

[EugP]

It might be easier for you to see the solution if you first divide everything by 4:

\frac{1/4}{s+1/4}

Now it should be clear that:

L^{-1}(\frac{1/4}{s+1/4}) = \frac{1}{4}e^{\frac{1}{4}t}