Solved: In 25 and 26 each figure represents a portion of a direction field of an

Chapter 2, Problem 25

(choose chapter or problem)

In 25 and 26 each figure represents a portion of a direction field of an autonomous first-order differential equation dydx 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 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.