Mathematics

Mathematics

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) y2−1y^{2}-1 b) 1−y21-y^{2} c) y(1−y)y(1-y) d) (1−y)2(1-y)^{2}

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