Determine the general implicit solution of the differential equation

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

Problem

\displaystyle \frac{dy}{dx}=3x^{2}e^{y}

. Which of the following is equivalent to the general solution? (a)

e^{y}=x^{3}+C

(b)

e^{-y}=-x^{3}+C

(c)

y=-x^{3}+C

(d)

e^{-y}=x^{3}+C