Question 3 (Unit 13) 16 marks Consider the pair of differential equations dax dy =1-y, = x² - y². dt dt (a) Find all the
Posted: Wed May 04, 2022 1:23 pm
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]