Find all equilibria and determine their local stability properties. (Order equilibria from smallest x-coordinate to largest, then by y-coordinate.) x' = x(3-X), y' = y(4 - y) (x, y) = O locally unstable O locally stable O inconclusive (x, y) = O locally unstable O locally stable O inconclusive (x, y) = O locally unstable O locally stable O inconclusive (x, y) = O locally unstable O locally stable O inconclusive

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 all equilibria and determine their local stability properties. (Order equilibria from smallest x-coordinate to largest, then by y-coordinate.)
x' = x(3 - x),
y' = y(4 - y)
(x, y) =
O locally unstable
locally stable
O inconclusive
(x, y) =
O locally unstable
locally stable
O inconclusive
(x, y)
=
locally unstable
O locally stable
inconclusive
(x, y) =
=
O locally unstable
locally stable
O inconclusive
Transcribed Image Text:Find all equilibria and determine their local stability properties. (Order equilibria from smallest x-coordinate to largest, then by y-coordinate.) x' = x(3 - x), y' = y(4 - y) (x, y) = O locally unstable locally stable O inconclusive (x, y) = O locally unstable locally stable O inconclusive (x, y) = locally unstable O locally stable inconclusive (x, y) = = O locally unstable locally stable O inconclusive
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