I've got a linear 1st order ODE, which I'm trying to solve via integrating factors:
Book Answer:
So, from here, this is what I start out with:
But working from here would seem to require integrating , which I didn't think was trivially doable.
Where am I going wrong?
Wow, that's a nasty integration example, simple though it is. Thank you for showing that to me!
<head smack>
Well, that would have made things considerably easier, had I seen that. Of course, I would have lost out on the integration lesson, so I'm happy with how things turned out.
Incidentally, is there a trick to spotting what something like this separates out into? Or is it just trial and error?