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Consider the vector field [math].
Show that [math] is a flowline for the vector field
[math].
That is, verify that (I trust you here)
[math]
,
, [math].

Now consider the curve [math]. It is not a flowline of the vector field [math], but of a
vector field [math] which differs in definition from [math] only
slightly.
[math]
,
, [math].