 this solution by
  dividing both sides of the differential equation by \( y^2 \).
</p>
<p>
  Whenever we need to divide both sides of a differential equation by
  a function to separate the variables, we also need to perform an
  additional step of verifying whether the zero function is a solution
  of the equation.  In this case \( y = 0 \) is indeed a solution of
  the differential equation.
</p>
<p>
  In general, when we need to divide both sides of the equation by a
  function of \( y \), say \( f(y) \