Assignment 4 - Professor Jason Levy, University of Ottawa,...

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Professor Jason Levy, University of Ottawa, MAT 1332C, Winter 2011 Assignment 4, due Monday March 7, 10:00am at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Student Number DGD section By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Student Name 1. (a) Find the equilibrium solutions of the following differential equations. You should find three y 0 = y 3 - 6 y 2 + 11 y - 6 . (b) Draw the phase line diagram. (c) Graph the equilibrium solutions and sketch the solutions curves for the following initial conditions: y (0) = 0 ,y (0) = 0 . 5 ,y (0) = 1 . 5 ,y (0) = 2 . 5 ,y (0) = 4 . You should clearly indicate the behaviour of the solution curves as t → ∞ . 2. Suppose that size N if a populations satisfies the following differential equation: dN dt = 5 N 2 1 + N 2 - 2 N. (a) Find all equilibrium points.
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This note was uploaded on 09/17/2011 for the course MAT 1332 taught by Professor Munteanu during the Winter '07 term at University of Ottawa.

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