Question

Differential Equations

· (7 points) Find all equilibrium solutions and classify each as stable, semi-stable, or unstable. Plot the phase portrait of the solutions of this equation.

\frac{d y}{d x}=y^{3}(y+3)^{2}(y-1)

\text { s) If } y(0)=-2, \text { what is } \lim _{x \rightarrow \infty} y(x) \text { ? }


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