Recent content by tabularasa

This is great! My eyes opened, I just enter in a new world of mathematics...the wonderland. Thank you for your great and helpful answers.

Thank you Tom! Things getting less blurry... Is the whole idea of Laplace transform to be a tool that help us solve equations? We have so hard equation in our time domain that we have to transform function to another domain and solve some equation there (wonderland to me). And then...

To specify my question; Is variable s always complex number which both real numbers parts are somehow original (not transformed) function other parameters like this example case it was?

Yes, this is exactly what I was wondering. Thank you. Hence s is complex frequency it is not sum of phase and angular velocity but complex number which both parts are real? Hmm, what this actually means and what kind of unit function A*(cos(φ)*ω+sin(φ)*s)/(s^2+ω^2) returns?

I'm looking some applied example of Laplace transform. For instance: If I have function f(t) = Asin(ωt + φ), where; A is peak deviation from center ω is Angular velocity t is time φ is phase and now I want to laplace transform it and get some function like...

Removed To New Thread. Question Changed

I've posted this question already to Math forum but no success to get answer that I understand. This is trivial question about fundamental Laplace transformation. My goal is to understand what is Laplace transformation and when and why to use Laplace transformation. I'm looking practical...