dy Find the equilibrium points of = y²(y² – 9) and classify each one as stable, unstable, or dt emistable. Stable equilibria occur at y = Unstable equilibria occur at y = Semistable equilibria occur at y = If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none".) On paper, sketch several solutions to the differential equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the equilibrium points of
= y² (y² — 9) and classify each one as stable, unstable, or
dt
semistable.
Stable equilibria occur at y =
Unstable equilibria occur at y =
Semistable equilibria occur at y =
(If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no
equilibria, enter "none".)
On paper, sketch several solutions to the differential equation.
Transcribed Image Text:Find the equilibrium points of = y² (y² — 9) and classify each one as stable, unstable, or dt semistable. Stable equilibria occur at y = Unstable equilibria occur at y = Semistable equilibria occur at y = (If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none".) On paper, sketch several solutions to the differential equation.
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