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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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