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?
FullForm
s of the input expressions and applyFullSimplify
on both of them and examine the output $\endgroup$