I do this all the time with SymPy. But I construct the equations by hand. It would be trivial to write software to develop those equations, though. I don't put in any thinking at all. I just create them "by rote process." So I know this would be very easy to do. But it appears you are asking for a product/software that already exists. And that may be out of scope here. (I can't say for sure. But it feels like you are looking for a COTS solution to me.) LTspice could certainly add a simple modification to achieve this result. I'm pretty sure of that. But you'd need the source code.
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