4. The problem concerns the nonlinear autonomous system x'= x^2
− y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical points. (b)
For each critical point, find the Jacobian at the point. Determine
whether each critical point is stable or unstable, and classify it
as to type. (c) Sketch the graphs of some solutions.
4. The problem concerns the nonlinear autonomous system x'= x^2 − y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical poi
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4. The problem concerns the nonlinear autonomous system x'= x^2 − y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical poi
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