Hi,
   This sounds like a great idea. I think a symbolic circuit solver would 
be a great
addition. You can think about implementing hints for the ode solver which 
uses
laplace transforms to arrive at a solution (which was discussed previously).

The main difference between imitating SPICE is SPICE uses a lots of 
parameters
for modelling its transistors/ other non-linear devices and hence its a 
huge set of piecewise functions. Its 
easy(relatively) to solve such equations numerically, but it will be really 
difficult to solve them
symbolically.

You need to think about how you are going to handle non-linear devices like 
the transistor,
opamp if you are implementing such an solver.

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