Consider the initial value problem for a Riccati equation:

$\displaystyle y' + y^{2} + 1 = 0, y(0) = 1$

Find the true solution y(x). How many solutions have you found?

This is actually part of a project involving us researching the riccati equation. So, I haven't learned anything about this topic in class, so I'm really not sure how to begin.

I've found guide on the website http://www.sosmath.com/diffeq/first/...i/riccati.html but I'm not sure how reliable it is.