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Old 2018-03-21, 19:45   #1
pinnn
 
Nov 2017

24 Posts
Default help with laplace transform

Hi all!

I have to find origin function from 1/(sqrt(s^2-1)).
I found some abstract solution = J0(t). But i want more detail solution.
Could you help me?
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Old 2018-03-25, 12:37   #2
pinnn
 
Nov 2017

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hmm.. is it so difficult? nobody can point me?
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Old 2018-03-26, 21:12   #3
ctteg
 
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Feb 2018
Connecticut, USA

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I can't answer your question, but maybe a little humor will help.

When I was an undergrad mathematics student, I was struggling with differential equations. It may very well have been the Laplace transform. I brought my problem to a friend of mine who had been through it before. He said, "just remember one thing: you will never ever have to use this."

Hope this helps!
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Old 2018-03-26, 21:36   #4
pinhodecarlos
 
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"Carlos Pinho"
Oct 2011
Milton Keynes, UK

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I had 19/20 on my university exam with regards to Laplace transform. Never used it again therefore all is forgotten.
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Old 2018-03-27, 02:34   #5
Dr Sardonicus
 
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Feb 2017
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For a derivation see, e.g. Page 19 of Bessel Functions. Note: J0 appears to correspond to 1/sqrt(s^2 + 1). In tables, i.e. this one, entry 16 indicates you want I0, the "modified Bessel function of the first kind" (see e.g. here.)
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