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Separable ordinary differential equation : ウィキペディア英語版
Examples of differential equations

Differential equations arise in many problems in physics, engineering, and other sciences. The following examples show how to solve differential equations in a few simple cases when an exact solution exists.
== Separable first-order ordinary differential equations ==
Equations in the form \frac = f(x)g(y) are called separable and solved by \frac = f(x)dx and thus
\int\frac = \int f(x)dx. Prior to dividing by g(y), one needs to check if there are stationary (also called equilibrium)
solutions y=const satisfying g(y)=0.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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