# Homework Help: Elementary Laplace

1. Oct 21, 2008

### 2RIP

Hi

1. The problem statement, all variables and given/known data
L[f] = (s)^(1/2)

3. The attempt at a solution
Is there actually an elementary laplace transform that can compute this? I tried using derivative to solve for it, but i'll always be stuck with a fractional exponent.

Thanks

2. Oct 22, 2008

### jhicks

The best thing I could think of is using the convolution rule, i.e. (F(s)G(s) = f(t)*g(t)) where * is convolution. Let F(s)=G(s)=s^(1/2), then F(s)G(s) = s. Can you do the laplace transform of s?

3. Oct 22, 2008

### 2RIP

Oh, our class hasn't got to that section yet. Maybe I'll be able to solve it tomorrow then. Thanks.

4. Oct 22, 2008

### 2RIP

I think i might have just thought of something. Would it work if i first took the derivative. Then used the gamma function to compute the inverse laplace transform?

5. Oct 22, 2008

### jhicks

The gamma function isn't in a form that is immediately obvious to me to see how it relates to what you have to evaluate.