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Notes -
The other day I needed the equation for the voltages of two capacitors over time when charged initially to different voltages and connected via a resistor. That's simplest possible system of two differential equations, first term of the first year university level math. IOW it's the very opposite of "advanced math".
I wrote down the equations and asked ChatGPT to solve for V1(t) and V2(t). It spent a long time thinking and gave a confident answer with a bunch of "I can also give ..." extras. Too bad it was wrong. I changed the variable names to make it look closer to a basic textbook problem and after a bunch more thinking it gave a different wrong answer. Finally I simplified the problem so much that it became useless (fixed initial values to 1 and 0 respectively) to make it even more textbooky and I finally got a correct answer. Too bad it was useless. Finally I just ended up googling how to present such systems to Matlab symbolic math toolbox and got the answer I actually needed in the first place.
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