Question: 6. Consider the differential equation d y / d t = y 4 6 y 3 + 5 y 2 a. Find all equilibrium solutions.

6. Consider the differential equation

dy/dt=y46y3+5y2

a. Find all equilibrium solutions.

b. Identify where y is increasing and decreasing. c. Classify all equilibriums as stable, unstable, or semi-stable.

c. Classify all equilibriums as stable, unstable, or semi-stable.

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