a) What can you say about the graph of a solution of the equation y9 xy 3 when x is

Chapter 7, Problem 6

(choose chapter or problem)

a) What can you say about the graph of a solution of the equation y9 xy 3 when x is close to 0? What if x is large? (b) Verify that all members of the family y sc 2 x 2 d 21y2 are solutions of the differential equation y9 xy 3 . ; (c) Graph several members of the family of solutions on a common screen. Do the graphs confirm what you predicted in part (a)? (d) Find a solution of the initial-value problem y9 xy 3 ys0d 2

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