@Tim and @Bharath : I apologize for responding late as I got busy in the 
last few weeks with quizzes and course-project submissions.

@Tim : For the method I am going to use, i.e. Modified Nodal 
Analysis<http://qucs.sourceforge.net/tech/node14.html>, 
Sympy's matrices module would be sufficient for solving circuit equations.

@Bharath : Using the method of Modified Nodal Analysis, it would be better 
to solve linear equations in Laplace Domain instead of solving Differential 
Equations in Time Domain. Also, I still haven't found a solvable approach 
to solve circuits with non-linear components, the primary reason being that 
solving them numerically immediately determines which of the three regions 
the transistor is going to operate in. But symbolically, there will be an 
upperbound of 3**n possible piecewise solutions where n is the number of 
transistors in the circuit.

I have discussed a rough plan for this project on this 
thread<https://groups.google.com/forum/?fromgroups=#!topic/sympy/V9q9XrsTSfI>. 
Please have a look at it and write any comment/suggestion that you have. 
Thank You.

Ankit Agrawal,
Senior undergrad in EE,
IIT Bombay.

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