@salim-barzani 

try again...


Wolfram cloud confirms that with this constraints this is the solution ? ..now in Maple 

@salim-barzani Mathematica and Maple can't give a confirmation of G25  for this ode2 that it is a solution ?

@janhardo 
 "after equation 24 the reds one is not satisfy the equation i have to use equation 4-5 condition but i don't know how they use and satisfy the ode "

what  ode for this ?
its not the ode from ode-test-36.mw 

@salim-barzani 

Download G25_odetest_1-6-2025_mprimes.mw

@salim-barzani 

Download G5_oplosssing_in_Riccati_ode_mprimes1-6-2025.mw

@salim-barzani 

Makes no difference this solution for a odetest in the Ricatti ode, as it seems ?





 

@salim-barzani 
tanh solution 

eq5_naar_class1_via_bernouilli_tanh_oplossing_mprimes_30-5-2025.mw

eq5_naar_class1_via_bernouilli_mprimes_30-5-2025.mw

Solving the Bernoulli equation:

@salim-barzani 


start with equation(6) 
 

G25 solution has a different ode then in paper ?

Download G25_heeft_andere_ode_dan_gegeven_mprimes_30-5-2025.mw

"Could there be a mistake in my assumptions, or are some of these solutions only valid under specific conditions?

Also depends on some mathematical function type what the solution is , according to me with the scaling I suspect?

@salim-barzani 
All those solutions for Z , have certain conditions to get them to 0 in an odetest.
What are they ?
Download geschaalde_riccatie_ode_mprimes_29-5-2025_A.mw

@nm 

q0 and q1 can be 0 , but not q2 =0 ( no riccatie ode anymore) 


   is a Riccati form 

The combination of the 3 functions in the Riccation ode makes many ode forms possible

General form : 

@vv 
I don't use Copilot,but perhaps idea 
That's promising that the ai's don't come up with divergent reasoning

Although Maple cannot directly arrive at a stepwise result of the final result: 5/2 , the reasoning leading to the final result is informative

@vv 
 "generated by AI, probably Microsoft Copilot".:.. no, you need more clever ai then copilot