(b)
Figure N9–2bSince we already know that, if , then , we are assured of
having found the correct general solution in (a).
In Figure N9–2b we have drawn several particular solution curves of the given
d.e. Note that the vertical distance between any pair of curves is constant.
Example 3 __
Match each slope field in Figure N9–3 with the proper d.e. from the following
set. Find the general solution for each d.e. The particular solution that goes
through (0,0) has been sketched in.
Figure N9–3a