The fi­gure represents a portion of a direction fi­eld of an autonomous ­first-order differential equation dy/dx = f (y). Reproduce the fi­gure on a separate piece of paper and then complete the direction fi­eld over the grid. The points of the grid are (mh, nh), where h = 1/2, m and n integers, -7 ‰¤ m ‰¤ 7, -7 ‰¤ n ‰¤ 7. In each direction fi­eld, sketch by hand an approximate solution curve that passes through each of the solid points shown in red. Discuss: Does it appear that the DE possesses critical points in the interval -3.5 ‰¤ y ‰¤ 3.5? If so, classify the critical points as asymptotically stable, unstable, or semi-stable.

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х -1 -2 1 2 3 -3 -2 -1 3. 2. 3.