Separation of variables

Separation of variables is a technique to solve differential equations. It requires the equation to be separable; that is, the equation is of the form

$y'=F(y)G(t)$

where the RHS is the product of a function of y and a function of t.

Procedure

Divide both sides by $F(y)$, integrate, and you get an Implicit equation of y in terms of t.