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

AP Calculus ABeasymcq1 pt

Which of the following is the general solution of $\dfrac{dy}{dx} = 6x$ ?

A.

y = 3x^2 + C

B.

y = 6x^2 + C

C.

y = 3x^2

D.

y = 6x + C

Explanation

Core Concept

Integrating both sides gives $y = 6\cdot\dfrac{x^2}{2} + C = 3x^2 + C$ .

Correct Answer

A $y = 3x^2 + C$

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