Consider the slope field for the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

\dfrac{dy}{dx}=y

. Which statement is most consistent with the behavior of the solution that passes through the point

(0,-1)

? (a) It approaches

0

from below as

x

increases. (b) It remains at

y=-1

for all

x

. (c) It remains negative and decreases without bound as

x

increases. (d) It crosses the

x

-axis exactly once and then increases without bound.