Daily Maths Challenges

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Share your cool maths problems.

Complete a challenge:

Post your solution in comments, if it is exactly the same as OP's solution, let us know.
Have fun.

Post a challenge:

Doesn't have to be original, as long as it is not a duplicate.
Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
Optionally include solution in comments, let it be clear this is not a homework help forums.
Tag [unsolved] if you don't have a solution yet.
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[Unsolved] [2024/05/17] 1 dimensional gravity (lemmy.world)

submitted 5 months ago* (last edited 5 months ago) by [email protected] to c/[email protected]

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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.

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[–] [email protected] 2 points 5 months ago* (last edited 5 months ago)

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.