Exam style question 1. Show that both (0,0) and (1,0) are both equilibria of the ODE d dt x(t)=x+xy−(x+y) (x² + y²) 1/2 d dt πy (t) = y − x² + (x − y) (x² + y²)1/2 2. Linearise the system at both of these equilibria points. What can you conclude regarding stability of each equilibrium point? 3. Convert the system to polar co-ordinates (r(t),0(t)).