solution_1.3 - is f 16 There must be equilibria at 1 and-1...

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Solutions 1.3 1. The equation is autonomous and the only equilibrium is y = 1. 2. The equation is not autonomous and has no equilibria. 4. The equation is autonomous. The equilibria are the roots of y 2 - y = 0, i.e. 0 and 1. 14. There must be an equilibrium at 0 and solutions must go towards the equilibrium. The right plot is c. 15. The slope must be independent of y and decrease with t . The right plot
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Unformatted text preview: is f. 16. There must be equilibria at 1 and-1. The right plot is a. 17. The slope must be independent of y and t . The right plot is b. 18. The slope must be increasing with y and t and be constant along lines parallel to the second diagonal. The right plot is d. 19. The slope must be independent of t and a decreasing function of y 2 . The right plot is e. 1...
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This note was uploaded on 04/27/2010 for the course MATH 13960 taught by Professor Prather during the Spring '09 term at Virginia Tech.

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