Consider the autonomous differential equation (y + 1)²(²-4). dt Determine all the equilibria and classify each one as asymptotically state, unstable or semi-stable. -2: asymptotically stable -1: semi-stable 2: unstable -2: unstable -1: semi-stable 2: asymptotically stable O-2: unstable -1: semi-stable 2: unstable O-2: semi-stable +1: unstable 2: asymptotically stable

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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M9
Consider the autonomous differential equation(v + 1)²(²-4)
Determine all the equilibria and classify each one as asymptotically state, unstable or semi-stable.
O2: asymptotically stable
-1: semi-stable
2: unstable
-2: unstable
-1: semi-stable
2: asymptotically stable
-2: unstable
-1: semi-stable
2: unstable
O-2: semi-stable
-1: unstable
2: asymptotically stable
Transcribed Image Text:Consider the autonomous differential equation(v + 1)²(²-4) Determine all the equilibria and classify each one as asymptotically state, unstable or semi-stable. O2: asymptotically stable -1: semi-stable 2: unstable -2: unstable -1: semi-stable 2: asymptotically stable -2: unstable -1: semi-stable 2: unstable O-2: semi-stable -1: unstable 2: asymptotically stable
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