(Solution) - For each of the nonlinear systems in Problems 1 2 make -(2025 Original AI-Free Solution)

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For each of the nonlinear systems in Problems 1-2. make o graph of the nullclines with arrows on and between them showing the direction of solutions. Identify each equilibrium and label it stable or unstable. Interpret these sketches in terms of the systems' phase portraits. Shown in Fig 7.1.1(a)-(d). to clarify the behaviors of the trajectories. Then for each graph write a paragraph to describe the behaviors.
1. x' = y
y' = x(x - 1)
2. x' = xy
Y' = y - 3 cos x