dy Consider the differential equation 2y(y – 6) (y – 8). - dt Use a phase-line analysis to determine whether each of the following equilibrium solutions are stable or unstable. The equilibrium...

Consider the differential equation dydt=−2y(y−6)(y−8).dydt=-2y(y-6)(y-8).


Use a phase-line analysis to determine whether each of the following equilibrium solutions are stable or unstable.




The equilibrium solution y=0y=0 is:

The equilibrium solution y=6y=6 is:

The equilibrium solution y=8y=8 is:

Extracted text: dy Consider the differential equation 2y(y – 6) (y – 8). - dt Use a phase-line analysis to determine whether each of the following equilibrium solutions are stable or unstable. The equilibrium solution y = 0 is: Unstable Stable O Half-stable The equilibrium solution y = 6 is: Stable O Unstable Half-stable The equilibrium solution y = 8 is: Stable O Half-stable Unstable