Question: Consider the differential equation i = (x - y)(x - 1), y = (2 - y)y. (a) Find all fixed points. (b) Draw the nullclines

Consider the differential equation i = (x - y)(x - 1), y = (2 - y)y. (a) Find all fixed points. (b) Draw the nullclines and the vector field on the nullclines. Graphically deduce which nullclines consist entirely of trajectories. Graphically deduce the types of the fixed points. (c) Argue that there cannot be closed orbits. Remark. You may use without justification that all fixed points are hyperbolic

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