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Ordinary differential equation
From Mathematics Is A Science
Jump to navigationJump to searchThis is how we describe motion in the Euclidean space. It is given by an ordinary differential equation (ODE): $$x'(t)=f(x(t)),$$ where $f:{\bf R}^n \to {\bf R}^n$ is a continuous vector field and $x:I \to {\bf R}^n$ is a differentiable parametric curve defined on an open interval $I$.
