Question: For the autonomous first - order differential equation ( frac { d y } { d x } = 1 0 + 3

For the autonomous first-order differential equation \(\frac{d y}{d x}=10+3 y-y^{2}\), answer the following questions/perform the following tasks.
1. Find the critical points of the differential equation.
2. Draw the phase portrait (phase line) of the differential equation.
3. Classify each of the critical points as stable, unstable, or semi-stable.
4. Sketch some solutions of the differential equations in the \( x y \)-plane.
For the autonomous first - order differential

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