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I am getting different results from the following commands:

InverseLaplaceTransform[a/Sqrt[(a*u)+(a*u)^2 ],u,t]

InverseLaplaceTransform[a/Sqrt[(a u)* (1 + a u)], u, t]

In the first one, i have $\frac{1}{a}$ multiplicative factor that doesn't appear on the second one. Any ideas?

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  • $\begingroup$ Examine the FullForms of the input expressions and apply FullSimplify on both of them and examine the output $\endgroup$ – Sektor Apr 6 '16 at 14:56
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    $\begingroup$ Can you show us what the output is? It might vary between versions. $\endgroup$ – Searke Apr 6 '16 at 15:44
  • $\begingroup$ Using the FullForm and FullSimplify i get same result. $\endgroup$ – Hugo Andrade Apr 6 '16 at 16:48
  • $\begingroup$ Theoutput are: Exp[-t/2a]BesselI[0,t/2]/a on the first one and Exp[-t/2a]BesselI[0,t/2] on the second one I'm using Mathematica 10.1 Student Edition $\endgroup$ – Hugo Andrade Apr 6 '16 at 16:51

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