Ideally, something like this would be built into the system: when a tag-badge holder upvotes or favorites a post with that tag, that ought to mean more than a random upvote. And be used to promote these questions somehow.
Oh well. We'll see what the SE Data Science geniuses come up with, when they ship the new content-quality algorithms.
So far, I'm not optimistic...
We’re currently analyzing the data at #SEMeetup2014 http://t.co/HqMWDLj1EG
Hi, I have a differential equation, $dy/dx = -1+2xy$, I need to find two values, $a$ and $b$ that differ only by $0.01$ but, when they are set to the initial condition of $y(0)$, they make different graphs. How would I proceed..?
@PedroTamaroff Basically, I'm given a differential equation, and then the question is asking for $a$ and $b$ such that $0<a<b<2$ where $a$ and $b$ differ by $.01$ I need to find them such that when I set $y(0)=a$ and $y(0)=b$ They make totally different graphs when the diff equation is solved. I have no idea what to do other than brute force it.
use an integrating factor @Link (look it up if this is the first time you've been exposed to the term. although it's strange you'd come to this problem without first being equipped with the tools to do it...)
@anon I can do it, just didn't see that form. I'll solve it now myself.
After solving it, how do I check for where the graph changes... is it something akin to critical points or something? (Not sure what influences the graph)
@Link The graph doesn't change wildly. The solutions to different but close initial conditions don't stay close together for long since $e^{x^2}$ grows pretty fast, but they're all of the same kind. Linear ODEs are pretty well-behaved.