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 - 7)(7 + y)

A. y = 7; increasing for  > 7; decreasing for  < 7
B. y = -7; increasing for  < 7; decreasing for  > 7
C. y = 7, y = -7; increasing for  > 7; decreasing for  < 7
D. y = 7, y = -7; increasing for  < 7; decreasing for  > 7


Answer: C

Mathematics

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