For a first-orde DE dydx f(x, y) a curve in the plane define by f(x, y) 0 is called a
Chapter 2, Problem 17(choose chapter or problem)
For a first-orde DE dydx f(x, y) a curve in the plane define 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 fiel over a rectangular grid of points for dydx x2 2y, 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. 18.
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