Differences
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ode_system [2014/03/21 11:11] 127.0.0.1 external edit |
ode_system [2015/03/27 20:14] nikolaj |
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==== Set ==== | ==== Set ==== | ||
| @#55CCEE: context | @#55CCEE: $ d,n,m,k\in\mathbb N $ | | | @#55CCEE: context | @#55CCEE: $ d,n,m,k\in\mathbb N $ | | ||
- | | @#55CCEE: context | @#55CCEE: $ F:\mathbb R\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $ | | + | | @#55CCEE: context | @#55CCEE: $ F:\mathbb R\times\mathbb R^{d\,(1+n)}\to \mathbb R^m $ | |
- | + | | @#FFBB00: definiendum | @#FFBB00: $ y \in $ it | | |
- | | @#FFBB00: definiendum | @#FFBB00: $ y \in \mathrm{it} $ | | + | |
| @#55EE55: postulate | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^d) $ | | | @#55EE55: postulate | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^d) $ | | ||
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| @#55EE55: postulate | @#55EE55: $ F(t,y(t),y'(t),y''(t),\dots,y^{(n)}(t))=0 $ | | | @#55EE55: postulate | @#55EE55: $ F(t,y(t),y'(t),y''(t),\dots,y^{(n)}(t))=0 $ | | ||
- | ==== Discussion ==== | + | ----- |
- | ==== Parents ==== | + | |
=== Reference === | === Reference === | ||
Wikipedia: [[https://en.wikipedia.org/wiki/Ordinary_differential_equation|Ordinary differential equation]] | Wikipedia: [[https://en.wikipedia.org/wiki/Ordinary_differential_equation|Ordinary differential equation]] | ||
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=== Subset of === | === Subset of === | ||
[[PDE system]] | [[PDE system]] |