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Question: How to Create a 1-D Phase Portrait for Autonomous First-Order DEs

Question:How to Create a 1-D Phase Portrait for Autonomous First-Order DEs

DJJerome1976 540 Maple
ode differential-equations phaseportrait plotting
February 17 2021
2

Hi,

I am doing some analyses of autonomous DEs (single equation and systems). Maple is able to easily produce 2d- and 3d-phase protraits for systems. However, I am struggling to produce 1d-phase portrait for autonomous first-order DEs. I would like to produce a single axis with some labels and decorations which include the following:

  1. All equilibrium/critical solutions of the DE.
  2. Arrows on the axis indicating if the non-equilibrium solutions are increasing or decreasing in a certain interval.

For example, for dy/dx = -y^2*(5*y-1)^2, would like to produce the plot in the attached file. 

How might I achieve this?

1d-phase_portrait.pdf
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