Question: First Part/1st Exercise: Consider uncoupled systems in the form / = / = With each the following selections of . a) = 1 = 1

First Part/1st Exercise: Consider uncoupled systems in the form  /  =   /  =  With each the following selections of   . a)  = 1   = 1 b)  = .01 and  = 2.4 c)  = 0 and  = 2.3 Carry out the following operations: 1. Use pplane to construct phase diagrams of each system. 2. Use Keyboard input to find solutions that have initial conditions on the axis of  Y on the  axis. Do solutions with these initial conditions move closer to or farther from the origin while  increases? 3. Determine if the origin is an attractor, a repeller, or a saddle point of the system. 4. Illustrate some trajectories of the system whose initial point does not lie on the axes coordinates.

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