Identifier: Separable Differential Equations

The language of the problem will very often just refer to the given equation as a differential equation. Even though you work with differential equations in many places during this course, they really only highlight the language “differential equation” when they are wanting you to apply these methods.
A differential equation will usually be given in differential notation , $\frac{dy}{dx}, \frac{dB}{dt}$ , and will generally look like the solution to an implicit differentiation problem, $\frac{dy}{dx} = \frac{x^{2}}{y}$ .
You feel like you want to take an antiderivative to get back to the original equation, and you are given a derivative equation that is in terms of the dependent variable ( y -variable), or both the independent variable ( x -variable) and dependent variable ( y -variable). Basically, you want to take an antiderivative, but it seems impossible because all the variables are mixed together in the given differential equation.