Sketch the direction field for the differential equation bel

Sketch the direction field for the differential equation below by considering values of y plusminus 1, plusminus 2, plusminus 3,... one at a time. That is, consider the slopes for just y 1, then for just y 2. and so on. Draw at least one nulicline. Sketch a solution curve that goes through the point ( pi, 2). What do you notice about the amplitude of the curve above and below the line y 2?

Solution

 Sketch the direction field for the differential equation below by considering values of y plusminus 1, plusminus 2, plusminus 3,... one at a time. That is, con

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