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OpenStudy (anonymous):
(a) What can you say about a solution of the equation y' = -y^2 just by looking at the differential equation? (b) Verify that all members of the family y = 1/(x+C) are solutions of the equation in part (a). (c) Can you think of a solution of the differential equation y' = -y^2 that is not a member of the family in part (b)? (d) Find a solution of the initial value problem y' = -y^2; y(0) = 0.5.
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