December 30th, 2012, 12:07 PM  #1 
Newbie Joined: Dec 2012 Posts: 3 Thanks: 0  Laplace transform
Hi there, I just started to learn the laplace transform. I know that the transform for gamma(t)= 1/s But how do you perform a transformation on gamma(sin(?t)) ? Thanks in advance! Greetings, Frederic 
December 30th, 2012, 12:26 PM  #2 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Laplace transform ?? I know that or I think you mean that if you mean by gamma the laplace transformation ? 
December 30th, 2012, 12:32 PM  #3 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Laplace transform 
December 31st, 2012, 06:05 AM  #4 
Newbie Joined: Dec 2012 Posts: 3 Thanks: 0  Re: Laplace transform
Im sorry, what I meant was the laplace transform of the unit step of sin(?t). So L( u(sin(?t))) = ? How can i deal with this problem? 
December 31st, 2012, 06:10 AM  #5 
Newbie Joined: Dec 2012 Posts: 3 Thanks: 0  Re: Laplace transform
Let me post it like this: 
December 31st, 2012, 11:46 AM  #6  
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Laplace transform Quote:
 
January 1st, 2013, 08:30 PM  #7  
Senior Member Joined: Jul 2012 From: DFW Area Posts: 642 Thanks: 99 Math Focus: Electrical Engineering Applications  Re: Laplace transform Quote:
then is a periodic square wave with a period of 2. For example, it has a value of 1 from t = 0 to 1, 0 from t = 1 to 2, 1 from t = 2 to 3 and so on (I am being a bit sloppy here with overlap at the endpoints, but hopefully the waveform values are clear). I will not try to take the LT of but I will take the LT of (at least according to how I defined it). Multiplying by U(t) makes the waveform equal to 0 for t<0. Otherwise, strange things tend to happen (convergence problems, I guess). I had to dust off a (very) old textbook for this, but let's define a function, f, for the first period: whose LT is Now we add in the periodic nature of the waveform by noting that: and the LT of is: Since So Do you know if this is anywhere close to the answer?  

Tags 
laplace, transform 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
LAPLACE TRANSFORM  capea  Complex Analysis  2  August 23rd, 2013 10:43 AM 
Laplace tranform and inverse of Laplace transform  Deiota  Calculus  1  April 28th, 2013 10:28 AM 
what is laplace transform of each of the following  rsoy  Calculus  2  March 24th, 2013 04:30 PM 
The Laplace Transform  zaidalyafey  Calculus  1  November 29th, 2012 03:30 PM 
Laplace transform  SeriousTyro  Real Analysis  0  March 8th, 2010 08:39 PM 