Content deleted Content added
SirMeowMeow (talk | contribs) m Undoing edits by Hellacioussatyr (talk) because the user is everywhere, making tiny edits and converting Latex into other templates. |
Tags: Mobile edit Mobile web edit Advanced mobile edit |
||
Line 3:
== 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)
solutions <math>y=\text{const}</math> satisfying <math>g(y)=0</math>.
==Separable (homogeneous) first-order linear ordinary differential equations==
| |||