Barrons AP Calculus - David Bock

FIGURE N9–2b

(b) Since 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.
(A) y ′ = cos x
(B)

(C)

(D)

FIGURE N9–3a

FIGURE N9–3b