Question

Math 244 Fake Final Exam 2e syatem 13. 116 points Consider the non-linear system dt a) Use r -x2 + y2 to write dr as a function of r. b) This system has a limit cycle. Identify it, and determine whether it is stable or unstable. dr (t may help to draw the phese ine for the DE di )) e) The systemhas only one critical point, at the origin. (You do not need to prove this.) What, specifically, is the basin of attraction for the origin?

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Answer 1

cldt dt du