AP Calculus ABmediummcq1 pt

A slope field is shown in which the line segments in every row are identical, but the segments change from one row to the next. Which differential equation could produce this slope field?

A.dydx=y2\dfrac{dy}{dx} = y^2
B.dydx=x2\dfrac{dy}{dx} = x^2
C.dydx=x+y\dfrac{dy}{dx} = x + y
D.dydx=3\dfrac{dy}{dx} = 3

Explanation

Core Concept

A field that is constant along each horizontal row but varies between rows has slopes depending only on yy, and dydx=y2\dfrac{dy}{dx} = y^2 depends only on yy.

Correct Answer

Adydx=y2\dfrac{dy}{dx} = y^2

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