===== ODE system ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $ d,n,m,k\in\mathbb N $ | | @#55CCEE: context | @#55CCEE: $ F:\mathbb R\times\mathbb R^{d\,(1+n)}\to \mathbb R^m $ | | @#FFBB00: definiendum | @#FFBB00: $ y \in $ it | | @#55EE55: postulate | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^d) $ | | @#55EE55: postulate | @#55EE55: $ F(t,y(t),y'(t),y''(t),\dots,y^{(n)}(t))=0 $ | ----- === Reference === Wikipedia: [[https://en.wikipedia.org/wiki/Ordinary_differential_equation|Ordinary differential equation]] ----- === Subset of === [[PDE system]]