Question

How should you separate the equation below to solve for y?

$$\frac{dy}{dx}=8xy$$

Accepted Answer

$$\frac{dy}{y}=8x\,dx\quad(y
e 0);\;	ext{also check }y=0	ext{ separately.}$$

Answer

$$dy=8x\,dx;\;	ext{divide by }x.$$

Answer

$$y\,dy=8x\,dx;\;	ext{discard }y=0.$$

Answer

$$	ext{Integrate }y	ext{ directly before separating the variables.}$$

Practice: Integration - Separate Differential Equation Variables