Question: 3. Come up with a simple test (using a derivative) to determine if an equilibrium solution to y = F (y) is attracting or repelling.

3. Come up with a simple test (using a derivative) to determine if an equilibrium solution to y = F (y) is attracting or repelling. Under what circumstances will your test be inconclusive? Give an explicit example of a dicerential 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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