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I have the following property:

If [itex]x(t)[/itex] is a solution of [itex] \left\{ \begin{array}{l} \dot{x} = f(x) \\ x(t_0) = x_0 \end{array} \right. [/itex] then the function [itex] y(t) = x(t+t_0) [/itex] is a solution of the equation with initial data [itex] y(0) = x_0 [/itex].

How could it be interpreted geometrically?

Thanks!

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# Geometrical interpretation of this property

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