Hello, 

My name is Orestis Vaggelis and I'm a sophomore mathematics student on the 
National and
Kapodistrian University of Athens. I have a 1 year of Python experience and 
I am very excited, that I
am able to combine mathematics and programming on an open source project, 
and (potentially) help other people with my contribution! I am very 
interested on expanding the ordinary differential equation solveset and I 
would love some feedback on a few ideas that I have!

1) Firstly, I read the ODE docs and I think that, currently Sympy does not 
have a way to solve an
     ordinary differential equation or simultaneous differential equations 
using the Laplace transform. 
3) Implement solver for the legendre equation.
2) Implement Sturm - Liouville form, which can apply on the Bessel 
equation, the legendre equation and on many other cases.
4) Implement Finite difference methods to convert a linear (non-linear) 
Ordinary Differential Equation into a system of linear (non-linear) 
equations, which can then be solved by matrix algebra techniques.


I will keep looking for more things to implement, but if you have something 
in mind, please don't hesitate to let me know !!



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