3. Consider the system of ODEs given by x' = x2 - y2 and y' = x² + y2 – 1. = (a) Enumerate all equilibria. (b) For each

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3. Consider the system of ODEs given by x' = x2 - y2 and y' = x² + y2 – 1. = (a) Enumerate all equilibria. (b) For each

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3 Consider The System Of Odes Given By X X2 Y2 And Y X Y2 1 A Enumerate All Equilibria B For Each 1
3 Consider The System Of Odes Given By X X2 Y2 And Y X Y2 1 A Enumerate All Equilibria B For Each 1 (137.77 KiB) Viewed 31 times
3. Consider the system of ODEs given by x' = x2 - y2 and y' = x² + y2 – 1. = (a) Enumerate all equilibria. (b) For each equilibrium, identify the behavior of the dynamics near the equilibrium. In other words, is the equilibrium a source, sink, saddle, center point, spiral source, spiral sink, or something else? Justify your answer (just stating the final result does not earn points).
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