i do same trasnformation but i don't know what is issue  the result is near to same but parameter (t) appear in my which that make my ode  not be correct so  i can't see the problem in here  and i am intrested in finding this, regarding to this i will put here my result and the papers result rregarding to resolve the issue 

pde1

pde2

T1.mw

nowday i am very intrested in this method which really i something intresting  i want to generate all the type of function not just thus in this paper  i will update the other  layers too but need sometime, i try to apply the exact layer  as author did in this paper but i did something mistake in one part about finding the parameters  i didnt fix that part but i did the second  part of the paper and i got answer, but for first one i need some help, also if possible  it will be amazing if someone can construct the all layer which can be construct , this is just two cases i provide here and in one of them i am stuck and i can't find the parameter but other i did it , target  of finding in apply the formula  for more  hiden layer  becuase in other papers i saw a lot of the  hiden layer i want to apply all of them if possible not jsut tw or three of them i want to know  and see how many hiden layer exist by constructing generate function, and the graph i am not sure maple can do that or not like fig 1 and fig 2 which if do that it will  be more amazing 

thank you for any help 

t1 have problem about  first case of layer and t2 dont have problem

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