Greetings everyone !

I am Darshan Chaudhary and am pursuing my B.E.(Hons.) from BITS Pilani, Hyd 
Campus India. I have been active in the SymPy community since the last 2 
months. For my GSoC project, I chose to work on the Partial Differential 
Equations module in SymPy which was started by Manoj Kumar in 2013 but 
hasn't seen much development since. Currently, it can only handle the most 
basic 1st order linear PDEs. I propose to extend the functionality of the 
solver by implementing the Method of Characteristics which will enable it 
to also solve semi-linear and quasilinear 1st order PDEs. 

Also, I plan on adding the ability to classify 2nd order PDEs into 
Parabolic, Hyperbolic or Elliptic. This classification will serve as the 
bedrock on which the future endeavor of solving the equations will rest. 

I have prepared the first draft of the application : 
https://github.com/sympy/sympy/wiki/GSoC-2015-Application-:-Darshan-Chaudhary-Improved-PDE-Solver

Kindly review and provide comments/suggestions

Thanks !

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