help

[hamidamini]

\(\displaystyle \displaystyle{\dot{J}(t)\, =\, \int_0^{\infty}\, \alpha e^{-2 \beta x}\, N(x)\, e^{\alpha t \,e^{-2 \beta x}}\, dx}\)

I have \(\displaystyle \dot{J}(t)\) as a table, something like this:

table:
     .
 t | s(t)
---*------
 - | ----
 - | ----
 - | ----
 - | ----
 - | ----
 - | ----

\(\displaystyle \alpha\) and \(\displaystyle \beta\) are constants. I would like to find \(\displaystyle N(x)\). Could you please help me?

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