(a) Sketch a direction ield for the differential equation

Chapter , Problem 2

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(a) Sketch a direction ield for the differential equation y9 xyy. Then use it to sketch the four solutions that satisfy the initial conditions ys0d 1, ys0d 21, ys2d 1, and ys22d 1. (b) Check your work in part (a) by solving the differential equation explicitly. What type of curve is each solution curve?

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