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ordinary differential equations

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ordinary differential equations

Just a small comment. Strictly speaking, the equations
in the entry
$\dot{x} = f(x)$
$x(0) = x_0$
are not a ordinary differential equation. Only the first one is
a differential equation. The second equation is
an initial condition.

Therefore, it could maybe be better to write something
``.. Then there exists an a>0 such that the ordinary
differential equation
$$\dot{x} = f(x)$$
with the initial condition
$$x(0) = x_0$$
has a unique solution $x:[a,b]\to E$.''

Parting words from the person who closed the correction: 
Status: Accepted
Reference to the user who closed the correction.: 
Reference to the article this correction is about: 
Status of the article (was it accepted?): 
Status of the article (is it closed?): 
What kind of correction is this: 

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