(a) find the equilibrium value(s) of the differential equation;
(b) access the stability of each equilibrium value;
(c) determine the point(s) of inflection; and
(d) sketch sample solutions of the differential equation.


(a) y = 0, 1/2

(b) Unstable, asymptotically stable

(c) y = 1/4

(d)

Mathematics

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