So I have a differential equations midterm coming up soon, and in my last exam I messed the graphing question up. It was very similar to the one I am posting. All the questions said was "Discuss the following graph(s)." However, I still have not been able to understand what am I supposed to "discuss?" Also, I've never really been good with graphs and I've been having a hard time in general with graphs of differential equations. Nevertheless, I also feel like "discuss" is very vague. Could anyone give me any advice and possibly the solution to this problem? Any help would be appreciated or reference to free online resources that might help me get a greater intuition of the graphs of Differential Equations.
EDIT: After emailing him and asking what he meant by "discuss" he said:
"Describe what you see using scientific language." However, I'm still confused.
Thank You,
Valentino Rodriguez
The first graph seems to be slope field, slope field is simply the graph of the vectors which their length represents the slope at that specific point.
In addition, as you may have noticed, those vectors would be tangent to any curve being graphed.