How i can apply this transfromation which is special and i can't undrestand how from that solution he did thus changes  and get the solution of ode  ,  i reached untill eq(3.5) but after that i can't  figure out what he did   and how we get eq(3.7)-(3.9) (3.12),(3.13) and how we can   tranform solution  for the  eq(3.5)

fp.mw

most of time is give me true my substittuetion but  a lot time i saw it is not make my substittuetion true and this time i figure out which author did   and outcome is what i am looking but when i do that is so different where is problem 

f-m.mw

In here i did try my best and my equation outcome are ok but is not same as author did i dont know why, beside this he try to use two ode for constructing  a new ode which find of one solution of this can be the third solution of ode!
 i have to use eq(5) for my orginal ode  but eq(5) contain f(x) and g(x) which by some assumption  and taking two other ode eq(6) and eq(7)  they construct new one which is eq(14) and by f(xi) and g(xi) have corelation with W(xi) which is third ode  as in eq(9) and eq(11) mentioned, i try to use the solution which author mentioned but is not give me solution of third ode by using corelation what is problem here? also in eq(21)  and eq(25) when thus parameter are satisfy must our odetest be zero

i will update two maple file which realted separatly for constructing  equations and other is for apply and satisfy the solution for ode!

F-p.mw

ode-17.mw

 a while ago there is a code for changing function from trig to hyperbolic and viceversa  but i can't find that code except changind xi=I*xi there is another one?

Download convert.mw

Dear MaplePrimes Community,

With the rapid advancement of technology, it has become increasingly important to improve our workflows and reduce repetitive manual tasks. In my research, I frequently use Maple to solve  PDEs and obtain analytical solutions. However, one major difficulty I face is the time-consuming process of manually converting each result into LaTeX format.

In many cases, Maple produces multiple solutions, and I must copy and convert each one individually into LaTeX. This process is tedious, inefficient, and prone to formatting errors.

Therefore, I would like to ask:

Is it possible to establish an automated link or workflow between Maple and LaTeX such that, after solving a problem in Maple, all resulting expressions are automatically exported and inserted into a LaTeX document in the desired format and location?

Ideally, I am looking for a system where:

• Maple solutions are automatically converted into LaTeX code,

• The equations are directly placed into a specified LaTeX file or section,

• The process works for multiple solutions without manual intervention.

Furthermore, if such integration is possible, can this idea be extended to connect Maple with multiple tools (for example, Maple → LaTeX → plotting or document-generation systems), creating a more advanced automated workflow?

I would greatly appreciate any guidance, examples, or best practices for implementing such a system.

Thank you very much for your help.