Examples of differential equations: Difference between revisions

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== Separable first-order ordinary differential equations ==
{{see also|Separable partial differential equation}}
Equations in the form <math>\frac {dy}{dx} = f(x)g(y)</math> are called separable and solved by <math>\frac {dy}{g(y)} = f(x)dx</math> and thus
<math>\int\frac {dy}{g(y)} = \int f(x)dx</math>. Prior to dividing by <math>g(y)</math>, one needs to check if there are stationary (also called equilibrium)