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Determine which differential equation corresponds to each phase line. You should be able to state briefly how you know your choices are correct.

1. $\frac{dy}{dt} = y(y-2)$

2. $\frac{dy}{dt} = y^2 - 3y$

3. $\frac{dy}{dt} = y^3 - 4y$

4. $\frac{dy}{dt} = 4y - y^3$

5. $\frac{dy}{dt} = y(2-y)^2$

6. $\frac{dy}{dt} = y^2 |y-2|$

7. $\frac{dy}{dt} = 3y - y^2$

8. $\frac{dy}{dt} = 2y - y^2$

In order to get credit for this problem all answers must be correct.