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> | ||
