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Problem 1: Consider the system dx = - x - ß123 dt dy = dt k2 where all parameters are positive. Analyze completely this system. You will find 4 different phase portraits based on the parameter values. Problem 2 (Hard): Consider the following system dy dt = with x for Show that the four equilibrium points are [x3,9(x3)] where x2,23 = 1) V (B-1)2-1. - a There are 6 regions of parameter space that correspond to various phase portraits. Find the conditions for each and draw only the phase portraits with null clines for all 6. Pick one to draw the complete phase portrait.

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