Consider a slope field where • The slope segments are zero on the horizontal lines y…
MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
Consider a slope field where
• The slope segments are zero on the horizontal lines y = 1 and y = -1.
• Between these two lines (−1 < y < 1) the slope segments are positive.
• Outside this band (y > 1 or y < -1) the slope segments are negative.
Which differential equation best explains this pattern?
(a) y2−1
(b) 1−y2
(c) y(1−y)
(d) (1−y)2