Consider the differential equation y' (t) = (y-2)(2+ y). a)

Last updated: 7/12/2022

Consider the differential equation y' (t) = (y-2)(2+ y). a) Find the solutions that are constant, for all t20 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c.