Need help only solving part c. Thank you **For the differential equation** \[ \frac{dy}{dx} = \frac{1}{2}(y+2)(y-1)^2 \]**a. Sketch the direction field where** \(-2 \leq x \leq 2\) **and** \(-2 \leq y \leq 2\). **Place the lineal elements on top of the dots.****Fill in this table:**\[ \begin{array}{c|c}y & \frac{dy}{dx} \\ \hline2 & \ldots \\ 1 & \ldots \\0 & \ldots \\ -1 & \ldots \\-2 & \ldots \\\end{array}\]**Graph Explanation:** The graph is a grid with orange dots marking points from \((-2, -2)\) to \((2, 2)\). The x-axis ranges from -2 to 2, and the y-axis also ranges from -2 to 2. **b. Explain the similarity in the lineal elements for each vertical strip.**The lineal elements within each vertical strip on the direction field exhibit similar slopes at corresponding y-values. This suggests that the slope (or direction of the lineal elements) depends solely on the y-value, as the differential equation is independent of x.**c. Find the critical points for this DE, draw a one-dimensional phase portrait, and classify each critical point as an attractor, repeller, or semi-stable.**

Name: Need help only solving part c. Thank you **For the differential equati
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Need help only solving part c. Thank you **For the differential equation** \[ \frac{dy}{dx} = \frac{1}{2}(y+2)(y-1)^2 \]**a. Sketch the direction field where** \(-2 \leq x \leq 2\) **and** \(-2 \leq y \leq 2\). **Place the lineal elements on top of t