Question: Consider the following autonomous first order differential equation. dy dx = ( y 1)( y + 8) 2 The critical points are y

Consider the following autonomous first order differential equation.

= (y − 1)(y + 8)²

The critical points are y = 1 and y = − 8. Classify these critical points (in the given order) as asymptotically stable, unstable, or semi-stable.

(A) asymptotically stable and semi-stable (B) asymptotically stable and asymptotically stable (C) semi-stable and unstable (D) unstable and unstable (E) asymptotically stable and unstable (F) semi-stable and semi-stable (G) unstable and semi-stable (H) unstable and asymptotically stable (I) semi-stable and asymptotically stable

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