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AP Calculus BC/Unit 7: Differential Equations
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Ordering Slopes of a Differential Equation
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Consider the differential equation $$\frac{dy}{dx}=x-y$$. The slope of the solution curve is evaluated at each of the points shown in the table. Which of the following lists the points in order from least slope to greatest slope?

Point x y
A -2 3
B 0 1
C 2 1
D 4 2
A

D,C,B,A

B

A,B,C,D

C

A,C,B,D

D

B,A,C,D

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