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Timeline for Solution to differential equation

Current License: CC BY-SA 3.0

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Jan 6, 2013 at 7:10 comment added Robert Israel Presumably. E.g. for $n=3$, numerical methods indicate the solution blows up before $t=-1$ for $y(-2) \ge .902$ approximately.
Jan 4, 2013 at 21:16 comment added djoke Thanks! One more question. If the initial speed $y'(-2)=0$, can you have a similar conclusion?
Jan 4, 2013 at 21:03 vote accept djoke
Jan 4, 2013 at 21:03 vote accept djoke
Jan 4, 2013 at 21:03
Jan 4, 2013 at 19:17 comment added Robert Israel You start with $f > 0$ at $t=-2$. $f$ is continuous. In order for $f$ to get to $0$, it would have to pass through the interval $(0, f(-2))$, which it can't because $df/dt > 0$ whenever $0 \le f \le 1$.
Jan 4, 2013 at 16:38 comment added djoke Why you can assume that $f\in[0,1]$. You should prove that $f>0$?
Jan 4, 2013 at 0:11 history edited Robert Israel CC BY-SA 3.0
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Jan 3, 2013 at 18:56 history edited Robert Israel CC BY-SA 3.0
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Jan 3, 2013 at 18:17 comment added djoke I updated the formulation. The question is can we find a global solution for example in (-2,-1).
Jan 3, 2013 at 17:49 history answered Robert Israel CC BY-SA 3.0