@nm open please 

@janhardo this code is emazing and different   and determine all cases one by one but i am looking for U(xi) and list them for each case for example A=0 the U(xi)=@ my mean not G(xi) also if do testode for each case it will be emazing, i upload in top and i will upload here too if provide me this it will be emazing

all_case.mw

@nm this code is emazing  and determine all cases one by one but i am looking for U(xi) and list them for each case for example A=0 the U(xi)=@ my mean not G(xi) i upload in top and i will upload here too if provide me this it will be emazing

all_case.mw

@dharr first thanks for this code
there is one case missing which is A  and B not equal to zero !
also i am  looking for U(xi) with telling me when for example A=0  then U(xi)=@  with substitute case in U(xi), also i need to clarify the odetes, i know it is work but want be sure for substitute odetest must be zero,  i am sure you didn't see this file i upload later 

i hope undrestand my mean

all_case.mw

@Kitonum it seems you have a good expreince in changing variable always i have problem in physic how we can remove the absolute value automatically i do that by hand in equation where  q=U(x)exp(I*x) then |q|=U(x) and |q|^2=U(x)^2 how maple do that automatically and do the change variable all by programing something like that in below picture also i have esier   if needed i just want to know how  replace this absolute value and do that automatically without need hand 

@acer  it is imposible for each equation i do the that i must update version i hope that is work 

@acer i saw you use kernelopts but now work my maple is like that back to orginal

it is same when i apply
 

Download identity_change_M2024(1)12.mw

@nm thank you for this new code

@acer  sorry for late, if i use 2024 version this problem will be fix? and my code of 2021 is work or not?  becuase i have a lot of this problem i can't use this code to all my function the editore of journals   give us comment which we must change all of this outcomes to shorter and i must change all my outcomes it take a 2 or 3 day to change all of them.

@acer thank you so much

@acer i have the problem with your last exploring graph  please help for upgrading it  i will send you in email if possible ...

@nm thank you so much

@Kitonum i know  i have a code with it different from up but  i need more technique if have any code please share it, lets see something strange

@janhardo this code emazing and this is first time i saw 3 code horizontally together work , i think it will be more complex if i give my long equation to this i will try thanks this code is so good i liked so much.

@dharr tahnk you dear Dr.
and also C_R 2607  thanks a lot .