Which of the following differential equations can be solved by separating the…

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

Problem

Which of the following differential equations can be solved by separating the variables

x

and

y

? (a)

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

(b)

\displaystyle x\,\frac{dy}{dx}+y=x

(c)

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

(d)

\displaystyle \frac{dy}{dx}=\frac{y}{x}+1