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January 8th, 2018, 03:41 AM  #1 
Newbie Joined: Jan 2018 From: Poland Posts: 4 Thanks: 2  Inverse laplace transform, formula help me a little ;)
I have to find y, but I don't have a formula to solve that one, if anyone have an idea... y=L−1[(e−2πs*s−2)/(s2+4)] Last edited by skipjack; January 8th, 2018 at 06:05 AM. 
January 8th, 2018, 04:00 AM  #2 
Senior Member Joined: Oct 2009 Posts: 850 Thanks: 327 
Just to make sure, you are talking about $$\mathcal{L}^{1}\left(\frac{e  2\pi s^2  2}{s^2 + 4}\right)$$ Last edited by Micrm@ss; January 8th, 2018 at 04:03 AM. 
January 8th, 2018, 04:30 AM  #3 
Newbie Joined: Jan 2018 From: Poland Posts: 4 Thanks: 2 
oops no, it is not that, it is hard to write it here but that one is correct L−1[(e^(2πs2s))/(s^24)] 
January 8th, 2018, 06:25 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,931 Thanks: 2207 
Use the entries numbered 17 and 27 in this list of Laplace transforms.

January 8th, 2018, 08:31 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  
January 8th, 2018, 08:57 AM  #6 
Newbie Joined: Jan 2018 From: Poland Posts: 4 Thanks: 2 
L1 is an inverse of laplace transformation it should be L to the power of 1
Last edited by Justinetea; January 8th, 2018 at 09:02 AM. 
January 8th, 2018, 09:18 AM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
Well, post it this way: L^(1) or 1/L

January 8th, 2018, 10:09 AM  #8 
Senior Member Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390  I'm afraid I have to disagree with you Sir Denis. Writing the inverse of a transform $\mathscr{L}$ as $\dfrac {1}{\mathscr{L}}$ gets you sent to the corner. If I was writing in charcoal in my cave I would write it as L^(1){} (your first choice) Using LaTex I'd write it as $\mathscr{L}^{1}()$ 
January 8th, 2018, 11:19 AM  #9 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  
January 8th, 2018, 03:20 PM  #10 
Senior Member Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390  

Tags 
formula, inverse, laplace, transform 
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