how we can make pretty of changing equation or case in maple to latex but be more readble and be simplify and the scientific referee don't reject the writting for example in this picture when i do convert i get something like that

if you watch the result 1 it is better denomenator which is 2 come out will be better and then times multiply by radical so how we do something like that?

latex2.mw

What is the idea  of getting equation (48),(49), and (50)

I find thus equation of course i use a little bit seperation by hand, i have 11 equation but i can't get results of parameters i don't know why my code is a little bit old i think and i don't know there is another technique for finding them or not here is the file of mp, thanks for any help

F_P_Correct.mw

for apear each part  remove (:)

By using the second order ODE and its solution how i can get thus changing Rule?  i am looking for equation (8) by assumption of the paper he did, there is a trick but i don't know

idea.mw

This expression is easy i think but i can't get any results with same shape  how i can simplify to the same equation in the paper

i am looking for equation 9 and every thing is clear how i can get

mp1.mw