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Dec 16, 2023 at 21:53 comment added tommy1996q Yeah @Christian Remling I figured that out don't worry, and thanks again! I just needed the input to look at it as an ODE!
Dec 16, 2023 at 20:58 history edited Christian Remling CC BY-SA 4.0
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Dec 16, 2023 at 20:58 comment added Christian Remling @tommy1996q: The last part of my argument is actually sloppy since we get close to $y=0$ when $\epsilon\to 0$. This means that there is no uniform Lipschitz constant $L$ and the inequality I quoted is useless here. I've edited, I hope it's airtight now.
Dec 16, 2023 at 19:50 comment added tommy1996q Fun fact is that I am actually dealing with an Euler method, I don't know why I didn't think to simply check what ODE I was solving.... Thanks!
Dec 16, 2023 at 19:50 vote accept tommy1996q
Dec 16, 2023 at 19:03 history answered Christian Remling CC BY-SA 4.0