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Question: A problem about the "Infinitesimals" in pdetools

Question:A problem about the "Infinitesimals" in pdetools

zhuxian 60 Maple
pdetools symmetry infinitesimal
October 12 2016
0

There is an example in the help of maple, that is to solve the symmetries of the equation ut=uxx using the order "Infinitesimals".

But the result i can't understand.

I solved by hand and find  _eta[u](x, t, u)=cu+b(x,t), where b(x,t) is a solution of the ut=uxx.

While in maple, b is only two exponential function which are also the solution of ut=uxx. 

why?

thanks for your help!
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