Show that the initial value problem has a solution on . I tried to use Picard's theorem, but to no avail I can't get any result.
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Hey alphabeta89. It's been a while since I did DE's, but have you heard of the Lipschitz condition for the existence of a solution for a particular DE?
Nope, how do I go about doing it?
I haven't watched the video myself, but you might want to look at this: What is a Lipschitz condition? - YouTube
Ok, so which domain of t and x do I apply on?
Well you have a positive period of L so you can think about the circle going from 0 to 2pi and the other object going from 0 to L.
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