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- Populations of birds and insects are modelled by the differential equations dx/dt = 4x − 0.2xy...

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Basic Math

- Populations of birds and insects are modelled by thedifferential equations

dx/dt = 4x − 0.2xy and dy/dt = −2y + 0.08xy

(a) Which of the variables, x or y, represents the birdpopulation and which represents the insect population? Explainwhy.

(b) Find the equilibrium solutions, and explain theirmeaning.

(c) Find an expression for dy/dx in terms of x and y.

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