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Exercise 8.1.6: Take x' = x^2, y' = x^3. TYPE AND EXPLAIN YOUR STEPS, thank you....

Exercise 8.1.6: Take x' = x^2, y' = x^3. TYPE AND EXPLAIN YOUR STEPS, thank you.
a) Find the set of critical points.
b) Sketch a phase diagram and describe the behavior near the critical point(s).
c) Find the linearization. Is it helpful in understanding the system.

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