2. Two fish species z(t) and y(t) are found to co-evolve according to the following model dX = (²32) X. dt -3 (a) Determine the nature and stability of the equilibrium point of this system. (b) Find the general solution of this system.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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2. Two fish species z(t) and y(t) are found to co-evolve according to the following model
dX
2 3
=
3).
X.
dt
-3 2)
(a) Determine the nature and stability of the equilibrium point of this system.
(b) Find the general solution of this system.
Transcribed Image Text:2. Two fish species z(t) and y(t) are found to co-evolve according to the following model dX 2 3 = 3). X. dt -3 2) (a) Determine the nature and stability of the equilibrium point of this system. (b) Find the general solution of this system.
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