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Question regarding to locally linear system

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ansleyliu:
Can anyone help with with part b for this question?


a. Linearize the system at stationary points and sketch the phrase portrait of this linear system.
b. Find the equation of the form H(x,y) = C, satisfied by the trajectories of the nonlinear system.

Thank you

Yining Qian:
here is my answer
have a great night!

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