I took a quick look. I found the logic of ode2sys and ode_rewrite very 
resourceful since its required for component division and for reducing 
higher order ODEs. 

On Wednesday, March 25, 2020 at 2:28:10 AM UTC+5:30, Nicolas Guarin wrote:
>
> You can check what I have done about it in the following notebook:
>
>
> https://nbviewer.jupyter.org/github/nicoguaro/notebooks_examples/blob/master/ode2sys.ipynb
>
> Let me know how can I help with the development.
>
> Best,
> Nicolás
>
> PS: Sorry for taking that much to answer.
>
>
> On Sunday, March 15, 2020 at 10:15:27 AM UTC-5, Oscar wrote:
>>
>> On Sun, 15 Mar 2020 at 14:45, Nicolas Guarin <[email protected]> wrote: 
>> > 
>> > I have been working in a function that turn a higher-order system of 
>> ODEs into a system of first order equations. So you think that it might 
>> help? 
>>
>> Absolutely. This is mentioned in the roadmap: 
>>
>> https://github.com/sympy/sympy/wiki/ODE-Systems-roadmap#higher-and-mixed-order-systems-of-odes
>>  
>>
>> I think that being able to rewrite single higher-order ODEs in the 
>> form of a first order system is also useful since that's the form 
>> expected by most numerical integration routines. 
>>
>> -- 
>> Oscar 
>>
>

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