ChatGPT-4 has a Wolfram|Alpha plugin
this post was submitted on 06 Jun 2023
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Can you give an example of a systems of DiffEqs it was able to solve? I'd love to see it solve some tough ones.
Well, it seems to struggle with really complicated equations without a bit of help, but it appears to have no trouble with complicated boundary conditions for simple equations. E.g., it solves most variants of the convection-diffusion equation on its own, given different boundary conditions, multiple regions, etc. While I haven't managed to get it to actually write down the boundary conditions from an abstract description, that doesn't really take much time to do oneself.
Also, I got it to successfully solve some statistics on differential equations using plain prompts, like "if the derivative of the average of this distribution with respect to time is equal to ...". Seems to work fine as long as it understands all concepts presented.
Cool thing would be combining SymPy (symbolic calculation library for Python) and ChatGPT. You'd basically ask it to generate code for you that symbolically solves your problem and then you can try out the code yourself to see whether ChatGPT solved the problem or was just hallucinating.