(a) What can you say about the graph of a solution of the equation y = xy3...
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(b) Verify that all members of the family y = (c – x2)–½ are solutions of the differential equation y’ = xy3.
(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 y’ = xy3 y (0) = 2
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a If z is close to 0 then zy is close to 0 and hence y is close to 0 Thus the graph of y must ...View the full answer
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