Question: (a) What can you say about a solution of the equation y' = - y2 just by looking at the differential equation? (b) Verify that

(a) What can you say about a solution of the equation y' = - y2 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' = - y2 that is not a member of the family in part (b)?
(d) Find a solution of the initial-value problem y' = - y2 y(0) = 0.5

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