For a first-order DE a curve in the plane defined by f (x, y) = 0 is called a nullcline of the equation, since a lineal element at a point on the curve has zero slope. Use computer software to obtain a direction field over a rectangular grid of points for
and then superimpose the graph of the nullcline
over the direction field. Discuss the behavior of solution curves in regions of the plane defined by
and by
Sketch some approximate solution curves. Try to generalize your observations.
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