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2. Consider the autonomous differential equation depending on a parameter a: yr __y:l + ay. (a) (5 points) Assume that a > 0. Find the
2. Consider the autonomous differential equation depending on a parameter a: yr __y:l + ay. (a) (5 points) Assume that a > 0. Find the equilibrinm points and classify the stabilities of these equlibrium points. Sketch the flow on the phase line. (b) (5 points) Assume that a 0, find im0 y(t] : (c) (5 points) Can you find the bifurcation value or values for this one-parameter differential equation? (d) (5 points) Assume that y(0) = 1 and a = 0. Use Euler's method to approximate y(1) with the step size At = 0.5
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