Question: 1. Consider the differential equation y' = 13 - 3y' + 2y. (a) Find all equilibrium solutions and determine whether they are asymptotically stable or

1. Consider the differential equation y' = 13 - 3y' +

1. Consider the differential equation y' = 13 - 3y' + 2y. (a) Find all equilibrium solutions and determine whether they are asymptotically stable or unstable. (Verify your answer.) (b) Sketch the graphs of the solutions satisfying the initial conditions y(0) = 0.1, y(0) = 0.9. y(0) = 1.1 and y(0) = 1.9. (Show the inflection point and concavity of the solution curve.)

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