Question: Project : Direction Fields and Equilibrium} Solutions 3. Come up with a simple test (using a derivative) to determine if an equilibrium solution to y'

 Project : Direction Fields and Equilibrium} Solutions 3. Come up with
a simple test (using a derivative) to determine if an equilibrium solution

Project : Direction Fields and Equilibrium} Solutions 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 differential equation y' = F (1;) with exactly three equilibrium solutions, such that one is attracting, one is repelling and one is neither

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