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## Main Question or Discussion Point

Hello,

I want to make certain of my understanding of equilibrium solutions. Are equilibrium solutions the value(s) of y such that [itex]\frac{dy}{dt} = 0[/itex]? So, suppose y = y

I want to make certain of my understanding of equilibrium solutions. Are equilibrium solutions the value(s) of y such that [itex]\frac{dy}{dt} = 0[/itex]? So, suppose y = y

_{0}is one of those solutions. Graphically, does this mean that one the horizontal line y = y_{0}, little slope lines are too horizontal; and does this correspond to where the solution curves attain a maximum or a minimum?