Laplace transform of Heaviside function



On 11/02/2012 03:48 AM, Fereshteh Zeynivand wrote:
> Have you computed the Laplace transformation of Heaviside functions as 
> well as step functions.
>
> Please share me your experiences about Laplace{H(t-2)} and 
> ilt{exp(-2*s)/s} through Maxima.
Hi,
you can look at my example in: 
http://def.fe.up.pt/pt/Processamento_de_sinais#i1

I'm sorry that the document is in Portuguese, but I think that if you 
just look at the Maxima commands
you might understand what I'm doing.

When we get the output v in %o5, we want to use ilt to get the inverse 
transform, but the current limitations of ilt() can be overcome by 
separating the 3 terms in the expression (v1, v2 and v3), excluding the 
exponentials. We calculate the 3 inverse transforms and then use the 
time-displacement property of the Laplace transform, to arrive to the 
answer in %o12.

I hope that helps you. Regards,
Jaime