Question 3 (Unit 13) 16 marks Consider the pair of differential equations dax dy =1-y, = x² - y². dt dt (a) Find all the

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Question 3 (Unit 13) 16 marks Consider the pair of differential equations dax dy =1-y, = x² - y². dt dt (a) Find all the

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Question 3 Unit 13 16 Marks Consider The Pair Of Differential Equations Dax Dy 1 Y X Y Dt Dt A Find All The 1
Question 3 Unit 13 16 Marks Consider The Pair Of Differential Equations Dax Dy 1 Y X Y Dt Dt A Find All The 1 (17.47 KiB) Viewed 48 times
Question 3 (Unit 13) 16 marks Consider the pair of differential equations dax dy =1-y, = x² - y². dt dt (a) Find all the equilibrium points of these equations. (b) Classify each equilibrium point of this non-linear system as far as possible by considering the Jacobian matrix. [4] [12]
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