Question: Sketch the phase space associated with the differential equation dx dt dV + = 0, dx where the potential V(x) has the shape given

Sketch the phase space associated with the differential equation dx dt dV

Sketch the phase space associated with the differential equation dx dt dV + = 0, dx where the potential V(x) has the shape given below. Only the portion of the graph of V(x) near its extrema is shown. You may assume that the trends suggested by the pic- ture continue outside of the plot area, i.e. that lim V(x): xx == - lim V(x) = +0. 80+1x x

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