Question: Determining system for KdV

Dear Friends

I am trying to find determining system for variable coefficient KdV equation, this system is required to find relevant point symmetries for said equation. Following is set of command that I used to perform task:

This last cammand gives me determining system for PDE1.

Following is direct procedure to find determining system:

This last command give large expression from which determining system is obtained by equating coefficient to zero which does not matches with determining system obtained with first procedure.

What could be the possible error?

I have also attached relevant Maple18 file for analysis.


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