Question: ARROWS on a plot

I know how to make my linestyle into DASH, DASHDOT, etc. But I am trying to an ARROw along my curve. Does anyone know how to achieve this? I have several solution curves to an ODE on the same plot, and they all converge to one line. I would like to have arrows on each of the curves to show that they all converge into this one curve. Any help is appreciated.
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