Question: Symmetry analysis with parameters

Let say I want to perform symmetry analysis of ODE, taking into account parameters.
In order to do it I must generate system of determining equations and them to split it for different cases.
But if I use PDETools, actually it gives me only 1 case (worksheet is attached).
In that case, surely it is very easy to do it by hand and to determine that A=0 and A<>0 are two different cases.

But automatic procedure of PDETools seems to me that somewhere allows to divide by parameter...

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