Long-Term Behavior Answer the following question for the differential equations of Problem...

Long-Term Behavior Answer the following question for the differential equations of Problem, using the direction fields given as a guide.

(a) Are there any constant solutions? If so, what are they?

(b) Are there points at which the DE is not defined? How do solutions behave near these points?

(c) Are there any straight line solutions? If so, what are they?

(d) What can be said about the concavity of solutions?

(e) What is the long-term forward behavior of solutions as t → ∞?

(f) Where do solutions come from ? Look at the long-term backward behavior of solutions as t → ∞.

(g) Do you see asymptotes or periodic solutions?