I've even got a starter question to get you guys into the scenario.
Once you've completed the starter question, under the solution comment attaches the main question, which is unsolved.
this post was submitted on 17 May 2024
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Daily Maths Challenges
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Not sure how much you'd care, but I came back to this and found (by hand) a function which closely approximates the solution - it's not exact but it's also not super far. Graph.
I think I could also solve the differential equation by hand at this point (getting the same solution as before) - I haven't, but I'm pretty sure I could if I wanted to for whatever reason. I'm doubtful it's possible to get an exact solution in terms of just x but if you ever manage I'd love to see how.