Question: 6. (Exercise 3.6.12 Lecture 16) Consider the non-linear autonomous system ::=m+y+m2 jz=y2my. a. Sketch the phase portrait, including nullclines, xed points, and arrows indicating the

6. (Exercise 3.6.12 Lecture 16) Consider the non-linear autonomous system ::=m+y+m2 jz=y2my. a. Sketch the phase portrait, including nullclines, xed points, and arrows indicating the direction of solution curves in each region. b. Find H (m, y) such that the solution curves are level sets of H. Find the equation satised by the solution curve passing through (72, 1). Graph this equation (using Wolfram- Alpha or SystemIEM.m) and sketch it on the phase portrait in (a). .0

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