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.

Question attached on picture. Consider the Autonomous Differential Equation : = 64x2

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

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!