Hi!  This group is more for discussion of educational and teaching ideas. 
 Implementing new capability in Sage for solving differential equations 
would get more people on the sage-devel Google group.  Note that a lot of 
our functionality is used from Maxima; perhaps it has some of this 
implemented already? Good luck!
>
>
> I recently bought the book that I studied in my PhD years. It is 
> "*Differential 
> Equations: their solution using symmetries*" by Hans Stephani. 
> https://www.amazon.com/Differential-Equations-Their-Solution-Symmetries/dp/0521355311/ref=sr_1_1?dchild=1&keywords=hans+stephani+differential+equation&qid=1591870417&sr=8-1
>
> In the book, methods to solve nonlinear ODE's or PDE's are given if the 
> differential equation has an underlying Lie group symmetry. I remember 
> using the program "Reduce" in the course. It may be useful.
>
> My aim is to incorporate the methods given in the book to Sage Math. So if 
> you are interested maybe we can form a small group to contribute to Sage in 
> this respect. I believe the ability to solve complex differential equations 
> is quite important for a symbolic math software. Please let me know if you 
> are interested.
>
> Best regards,
>
> -- 
> F. Semih Dündar <[email protected]>
>
>

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