Is it possible to determine if a solution to a differential equation is or isn't periodic, even if you don't know the solution explicitly? Also, is it possible to generate differential equations that have periodic solutions (besides the obvious ones like the solution to y" = -ay)? The reason why I'm asking is that I was fooling around with graphing y" = y(y-10)(50-y) in Maple (for y(0) = 20, y'(0)=0), but depending on what the parameters of the graph are I seem to get different answers. I'm just wondering if there's an analytical way to determine periodicity.(adsbygoogle = window.adsbygoogle || []).push({});

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# Determine if a solution to a differential equation

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