Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = (y - 2)(2 + y)

A. y = -2; increasing for  < 2; decreasing for  > 2
B. y = 2, y = -2; increasing for  > 2; decreasing for  < 2
C. y = 2; increasing for  > 2; decreasing for  < 2
D. y = 2, y = -2; increasing for  < 2; decreasing for  > 2


Answer: B

Mathematics

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