As stated in this section, the separation of equation (2) on page 39 requires division b...

As stated in this section, the separation of equation (2) on page 39 requires division by , p(y) and this may disguise the fact that the roots of the equation p(y) = 0 are actually constant solutions to the differential equation.

(a) To explore this further, separate the equation

(b) Show that

(c) Show that there is no choice of the constant C that will make the solution in part (a) yield the solution when we divided by (Y + 1)^2/3