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(y + 3)(8 - y)

A. y = -3, y = 8; increasing for y < -3, 0 < y < 8; decreasing for -3 < y < 0, y > 8
B. y = 0, y = -3, y = 8; increasing for y < -3, 0 < y < 8; decreasing for -3 < y < 0, y > 8
C. y = -3, y = 8; increasing for -3 < y < 8; decreasing for y < -3, y > 8
D. y = 0, y = -3, y = 8; increasing for -3 < y < 0; decreasing for y < -3, y > 0


Answer: B

Mathematics

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