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4. (15 pts.) Consider the following system of equations. x = 2x+xx x = x+x x (a) What is/are the equilibrium point(s) for this

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4. (15 pts.) Consider the following system of equations. x = 2x+xx x = x+x x (a) What is/are the equilibrium point(s) for this system? (b) Linearize the equations around any identified equilibrium points and discuss the stability of system about any identified points. (c) Using the analysis in parts (a) and (b), sketch a rough phase portrait for this system.

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