Figure 11.42 shows the slope field for dy/dx = y2.(a) Sketch the solutions that pass

Chapter 11, Problem 33

(choose chapter or problem)

Figure 11.42 shows the slope field for dy/dx = y2.(a) Sketch the solutions that pass through the points(i) (0, 1) (ii) (0, 1) (iii) (0, 0)(b) In words, describe the end behavior of the solutioncurves in part (a).(c) Find a formula for the general solution.(d) Show that all solution curves except for y = 0 haveboth a horizontal and a vertical asymptote.

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