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dy/dt=ay+by 2 a>0 b>0 y 0 0 Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically

dy/dt=ay+by2 a>0 b>0 y0image 0

Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the ty-plane.

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