Phase Plane Analysis
Summary
We continue analyzing solution trajectories for linear systems of first order homogeneous differential equations with constant coefficients: $$ \begin{aligned} &\frac{\mathrm{d} x}{\mathrm{~d} t}=a x+b y \\ &\frac{\mathrm{d} y}{\mathrm{~d} t}=c x+d y \end{aligned} $$
We cover
- Phase portraits,
- Equilibrium points and their classification,
- Direction fields.
Full Set of Lecture Notes
The notes for this lecture are available here.
Supplementary Jupyter Notebook
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