Systems of ODEs: Difference between revisions
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(Created page with "Category:Differential Equations An nxn system of ODEs looks like the following <math> \begin{aligned} x_1'&=F_1(t,x_1,x_2,\ldots,x_n)\\ x_2'&=F_2(t,x_1,x_2,\ldots,x_n)\\ \ldots\\ x_n'&=F_n(t,x_1,x_2,\ldots,x_n)\\ \end{aligned} </math>") |
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An nxn system of [[ODE]]s looks like the following | An nxn system of [[ODE]]s looks like the following | ||
<math> | <math> | ||
\begin{aligned} | \begin{aligned} | ||
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x_n'&=F_n(t,x_1,x_2,\ldots,x_n)\\ | x_n'&=F_n(t,x_1,x_2,\ldots,x_n)\\ | ||
\end{aligned} | \end{aligned} | ||
</math> | |||
In vector form, the same equation can be written as | |||
<math> | |||
\vec{x}'=\vec{F}(t,\vec{x}) | |||
</math> | </math> | ||
Revision as of 06:55, 10 June 2024
An nxn system of ODEs looks like the following
In vector form, the same equation can be written as
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec{x}'=\vec{F}(t,\vec{x}) }
