Consider the differential equation y´ = y2 + 4.
(a) Explain why there exist no constant solutions of the DE.
(b) Describe the graph of a solution y = f(x). For example, can a solution curve have any relative extrema?
(c) Explain why y = 0 is the y-coordinate of a point of inflection of a solution curve.
(d) Sketch the graph of a solution y = f(x) of the differential equation whose shape is suggested by parts (a) –(c).