help with laplace transform

pinnn · 2018-03-21, 19:45

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?

pinnn · 2018-03-25, 12:37

hmm.. is it so difficult? nobody can point me?

ctteg · 2018-03-26, 21:12

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!

pinhodecarlos · 2018-03-26, 21:36

I had 19/20 on my university exam with regards to Laplace transform. Never used it again therefore all is forgotten.

Dr Sardonicus · 2018-03-27, 02:34

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.)

2018-03-21, 19:45	#1
pinnn Nov 2017 2⁴ 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?

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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 3×17×97 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 11043₈ 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.)