Let . Which of the following differential equations is satisfied by this function for…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let

y=e^{3x}-2

. Which of the following differential equations is satisfied by this function for all real numbers

x

? (a)

\dfrac{dy}{dx}=3\bigl(y-2\bigr)

(b)

\dfrac{dy}{dx}=3\bigl(y+2\bigr)

(c)

\dfrac{dy}{dx}=3y

(d)

\dfrac{dy}{dx}=\dfrac{1}{3}\bigl(y+2\bigr)