Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2002 / Paper 1 / 7 / a / i / Solution

On an interval avoiding $x=\pm 1$, separation of variables gives, for $y\ne -1$,Absorb the sign into the integration constant and include the equilibrium solution $y=-1$ by allowing $C=0$. The complete real family isEach solution is considered on a connected interval in $\mathbb{R}\setminus \{-1,1\}$, where the original equation is defined.