# [SOLVED] Laplace transform for error function !

• Jun 13th 2007, 07:55 AM
abo ayman
[SOLVED] Laplace transform for error function !
Hello everybody

I really need to know :

" Laplace transform for error function"
for the variable (t) & (t^0.5)

I have the final answer for the both functions,
but I need the "FULL SULIOTION" wich guide to the final answer ;
I am waiting for a helpful person as soon as possbile.:o
• Jun 13th 2007, 11:18 AM
CaptainBlack
Quote:

Originally Posted by abo ayman
Hello everybody

I really need to know :

" Laplace transform for error function"
for the variable (t) & (t^0.5)

I have the final answer for the both functions,
but I need the "FULL SULIOTION" wich guide to the final answer ;
I am waiting for a helpful person as soon as possbile.:o

Find the LT of the Gaussian density: $\displaystyle e^{-t^2}$ (add constants where you wish.

Then use the result that:

$\displaystyle \mathcal{L} \left[ \int_0^t f(u) du \right] = \frac{F(s)}{s}$

where $\displaystyle F(s) = \mathcal{L}f$

RonL