Question

If $y' = (y + 6)^3 (1 - y)^2$, then ? $y = 0$ is an asymptotically stable equilibrium solution. ? $y = 0$ is an unstable equilibrium solution. ? $y = 0$ is an semi-stable equilibrium solution. ? $y = 1$ is an asymptotically stable equilibrium solution. ? $y = 1$ is an unstable equilibrium solution. ? $y = 1$ is an semi-stable equilibrium solution. ? $y = -6$ is an asymptotically stable equilibrium solution. ? $y = -6$ is an unstable equilibrium solution. ? $y = -6$ is an semi-stable equilibrium solution.

          If $y' = (y + 6)^3 (1 - y)^2$, then
? $y = 0$ is an asymptotically stable equilibrium solution.
? $y = 0$ is an unstable equilibrium solution.
? $y = 0$ is an semi-stable equilibrium solution.
? $y = 1$ is an asymptotically stable equilibrium solution.
? $y = 1$ is an unstable equilibrium solution.
? $y = 1$ is an semi-stable equilibrium solution.
? $y = -6$ is an asymptotically stable equilibrium solution.
? $y = -6$ is an unstable equilibrium solution.
? $y = -6$ is an semi-stable equilibrium solution.

If y' = (y + 6)^3 (1 - y)^2, then
? y = 0 is an asymptotically stable equilibrium solution.
? y = 0 is an unstable equilibrium solution.
? y = 0 is an semi-stable equilibrium solution.
? y = 1 is an asymptotically stable equilibrium solution.
? y = 1 is an unstable equilibrium solution.
? y = 1 is an semi-stable equilibrium solution.
? y = -6 is an asymptotically stable equilibrium solution.
? y = -6 is an unstable equilibrium solution.
? y = -6 is an semi-stable equilibrium solution.

Added by Paula M.

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