So, I am failing to understand some potentially simple algebra here. I have a separable equation:
$ \frac{dy}{dx} = \frac{e^{-x} - e^x}{3+4y} $
and after the easy integration $=>$ $3y + 2y^2 = -e^{-x} - e^x + c$
Now, to the algebra.. how do I solve for y? The book has a fairly long answer involving a square root... It could come down to, I did the separable/integration part incorrectly or I've lost my mind but I'm kind of shaking my head over my lack of algebra skills.