In the following exercises, use the signs of dx/dt and dy/dt to investigate the behavior of those solutions of the given

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In The Following Exercises Use The Signs Of Dx Dt And Dy Dt To Investigate The Behavior Of Those Solutions Of The Given 1 (76.84 KiB) Viewed 50 times

In the following exercises, use the signs of dx/dt and dy/dt to investigate the behavior of those solutions of the given system that satisfy x ≥ 0 and y ≥ 0. If possible, make reasonable predictions about the long-term behavior of these solutions. Note that the systems in Exercises 1 through 5 model competing species, and the systems in Exercises 6 through 8 model predator-prey populations. In Exercises 9 and 10, the curves along which dx/dt and dy/dt are zero include curves that are not straight lines. 4. 3x - x² - xy dx dt dy dt = 2y 2xy - y²