- Sometimes A Constant Equilibrium Solution Has The Property That Solutions Lying On One Side Of The Equilibrium Solution 1 (52.53 KiB) Viewed 39 times
Sometimes a constant equilibrium solution has the property that solutions lying on one side of the equilibrium solution tend to approach it, whereas solutions lying on the other side depart from it. In this case the equilibrium solution is said to be semistable. Classify the critical (equilibrium) points as asymptotically stable, unstable, or semistable. dtdy=y2(7−y2),−∞<y0<∞ (−7,0) is semistable, (0,0) is asymptotically stable, (7,0), is unstable. (−7,0) is asymptotically stable, (0,0) is semistable, (7,0), is unstable. (−7,0) is unstable, (0,0) is semistable, (7,0), is asymptotically stable. (−7,0) is semistable, (0,0) is unstable, (7,0), is asymptotically stable. (−7,0) is unstable, (0,0) is asymptotically stable, (7,0), is semistable.