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AP® Calculus AB-BC

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General Solution to a Differential Equation

APCALC-3JPEW5

Which of the following could be a solution to the differential equation $\cfrac {dy}{dx} = \cfrac {1}{y^2}$?

I. $y = \sqrt[3]{{3x + 3}}$
II. $y = \sqrt[3]{{3x}} + 3$
III. $y = -\sqrt[3]{{3x - 3}}$

A

I only

B

II only

C

I and III only

D

I, II and III