Find all the equilibria of the following autonomous differential equation and determine the stability of each of them. y' = (y - 1)^2(2 - y)(y + 1)(y + 2)
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Setting y' equal to zero, we have: 0 = (y - 1)^2(2 - y)(y + 1)(y + 2) To find the equilibria, we need to solve this equation. We can do this by setting each factor equal to zero and solving for y. Setting y - 1 = 0, we get y = 1. Setting 2 - y = 0, we get y = Show more…
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