# Inverse Laplace transform Help

1. Jun 11, 2007

### 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)]

2. Jun 11, 2007

That's almost direct from a table...

or are you doing these by hand?

3. Jun 11, 2007

### Icy950

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

4. Jun 11, 2007

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:

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

5. Jul 21, 2007

### 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:

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