How can you determine y's behavior from a direction field graph?? lets say i have the equation y' = 3 + 2y and i make a direction field graph. I find equilibrium position at y = -3/2. If question asks me to determine behavior of y as t approaches infinity, isnt this impossible, without solving the equation? If i follow along the graph so that t is really big, then the graph still looks the same: a horizontal line at y = -3/2, where the slope of graph is zero. So how can i infer anything about y's behavior without first solving for y?