Laplace Transformation

1. Sep 27, 2010

ritzmax72

Please anyone tell me how laplace transformation is derived. It transform a funtion into new one. Then what we get? Any example to show how it make a function easy to solve?

2. Sep 27, 2010

n.karthick

Yeah, Laplace transform can transform a differential equation in to algebraical equation which is much easier to manipulate and when we take inverse transform we get solution of that differential equation.

3. Oct 6, 2010

paulfr

A Fourier Transform converts a Steady State Time Domain function/signal to the Frequency Domain.
Basically it integrates [adds up] the energy at differenct frequecies to obtain the signal's spectrum.
It is what a Spectrum Analyzer does.
A variable frequency filter measures the energy at different frequencies

The Laplace Transform [LT] does the same thing but for Transient [non Steady State] signals and can
show the transient response. It is a fundamental tool in Dynamics as both signals and
"black boxes" have a LT and you can just multiply them to get the output response in the Complex Domain.
Then an Inverse Transform produces the output in the Time Domain.

4. Dec 6, 2011

Thanks a lot