HP50g How to use Laplace Transform. Unit Step Function

[zekoZeko]

Hello,

Is there a way to put the below equasion on the calculator to get the Laplace transfor.

f(t) = U2(t)*e^(-t)

I know how to use the Laplace transform by using the calcolator but I don't know how to add the Unit Step Function (U2).

many many many thanks for any help.

[Maké]

Hi!, zekoZeko:

Welcome, to Forum!.

Please, check the example, of Laplace Transform, in Electric Circuit, from ... http://www.youtube.com/watch?v=8_HhTE27aXc or, from ... http://www.youtube.com/watch?v=taY1xp3npsw&hd=1

Too, from ... http://www.hpcalc.org/search.php?query=Laplace+Transform&hp49=1

And the result, with Wolfram, is ...

[Tim_Wessman]

I don't beleive the 50g supports either dirac or heaviside, so I dont' think you can solve this on that calculator. You could possible replace it by a peicewise/ifte but not certain if that would work in conjunction with laplace.

http://www.wolframalpha.com/input/?i=lapalce+transform+UnitStep%28t%29*e^%28-t%29

Althought it doesn't help you... for those interested on the HP Prime calculator **even through it is primarily targetted at school use** the CAS natively solves this quite easily.

laplace(Heaviside(t)*e^(-t),t)  => 1/(t+1)

[Axel_59]

By the way,  with my 50G

'Heaviside(X)*e^-X' LAP

returns '1/(X+1)'

There are still some surprises with this old 50G ;D

(Perhaps I 've some library on my 50G but I dont think so)

 PS : Dirac (Delta) and Heaviside functions are explain in chapter 16-16 of the french user guide with examples. These functions  are only 'symbolic' (you can't use them for numeric output) . For example 1 ILAP return 'Delta(x)'...   and 'Delta(x)' LAP -> 1

and :

'Heaviside(X)' LAP -> 1/X