Apentix/AP Calculus AB/Unit 7: Differential Equations/Question

AP Calculus ABeasymcq1 pt

Which of the following functions satisfies $\dfrac{dy}{dx} = \dfrac{y}{x}$ for $x>0$ ?

A.

y = 2x

B.

y = 2x^2

C.

y = 2x + 1

D.

y = \dfrac{2}{x}

Explanation

Core Concept

The derivative is $2$ , and $\dfrac{y}{x} = \dfrac{2x}{x} = 2$ , so the differential equation is satisfied.

Correct Answer

A $y = 2x$

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