(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