mersenneforum.org help with laplace transform
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 2018-03-21, 19:45 #1 pinnn   Nov 2017 1610 Posts 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?
 2018-03-25, 12:37 #2 pinnn   Nov 2017 24 Posts hmm.. is it so difficult? nobody can point me?
 2018-03-26, 21:12 #3 ctteg     Feb 2018 Connecticut, USA 7 Posts 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!
 2018-03-26, 21:36 #4 pinhodecarlos     "Carlos Pinho" Oct 2011 Milton Keynes, UK 23×641 Posts I had 19/20 on my university exam with regards to Laplace transform. Never used it again therefore all is forgotten.
 2018-03-27, 02:34 #5 Dr Sardonicus     Feb 2017 Nowhere 7×887 Posts 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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