Hey!

I went through all the SymPy ideas, I also mailed Aaron regarding my 
interest in Risch Algorithm. But as GSoC allow open ideas. I would like to 
take up the task of solving PDEs.

To start with we can develop :
1. Lagrange's  Equation
2. Charpit's method

I think that within 350 hr constraint these two methods can be developed 
and improvised. After the GSoC timeline, I would like to add Non-Linear 
First order equations, higher-order linear equations with constant 
coefficients, quasi-linear second-order equations ( Monge's method).

Partial Differential Equations have enormous applications, if we can 
introduce this module we can take it forward with SymPy. PDEs has the 
capability to have software of their own. 




 

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