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6/ a] Come up with a simple test (using the derivative) to determine if an equilibrium...

6/

a] Come up with a simple test (using the derivative) to determine if an equilibrium solution to y' = F(y) is attracting or repelling. Under what circumstances will your test be inconclusive?

b] Give an explicit example of a differential equation y' = F(y) with exactly three equilibrium solutions, such that one is attracting, one is repelling and one is neither.

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