# Equilibrium Solutions

1. Sep 21, 2013

### Bashyboy

Hello,

I want to make certain of my understanding of equilibrium solutions. Are equilibrium solutions the value(s) of y such that $\frac{dy}{dt} = 0$? So, suppose y = y0 is one of those solutions. Graphically, does this mean that one the horizontal line y = y0, little slope lines are too horizontal; and does this correspond to where the solution curves attain a maximum or a minimum?

2. Sep 21, 2013