Find the critical points and phase portrait of the given autonomous first-order differential equation. Classify each critical

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Fi­nd the critical points and phase portrait of the given autonomous fi­rst-order differential equation. Classify each critical point as asymptotically stable, unstable, or semi-stable. By hand, sketch typical solution curves in the regions in the xy-plane determined by the graphs of the equilibrium solutions.

1. dy/dx = y2 – 3y

2. dy/dx = y2 – y3

3. dy/dx = (y - 2)4

4. dy/dx = 10 + 3y – y2

5. dy/dx = y2(4 – y2)

6. dy/dx = y(2 - y)(4 – y)

7. dy/dx = y ln(y + 2)

8. dy/dx = (yey – 9y) / ey

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