Question: Question attached on picture. Consider the Autonomous Differential Equation : = 64x2 - 8x4 a. Find all critical points (equilibrium solutions) of this d.e. b.
Question attached on picture.

Consider the Autonomous Differential Equation : = 64x2 - 8x4 a. Find all critical points (equilibrium solutions) of this d.e. b. Do a first derivative test in table form c. Draw a phase line (phase diagram) for this d.e. d. Determine whether each critical point is stable, unstable or semi-stable e. If x(0) = -1, what value will x(t) approach as t increases? f. Sketch typlical solutions curves (slope fields) of the given d.e. Please draw these curves in a graph separate from your phase line. Be sure to include graphs of all equilibrium solutions and make sure you label the axes
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