A slope field for dxdy=y(2−y) is shown to a student. Four descriptions of the solution curve that passes through (0,3) are offered. Which description is most consistent with the field?
a) The curve decreases and approaches y=0 as x increases.
b) The curve increases without bound as x increases.
c) The curve decreases and approaches y=2 as x increases.
d) The curve decreases without bound, tending toward −∞ as x increases.