Final Review 9.2 and 9.3

[Nikita Dua]

I would appreciate if anyone can share the technique for drawing phase planes by hand. I get the idea of linearization and finding the equilibrium points and classifying those but have difficulty in sketching the phase planes. I am not sure about how exactly to draw it by hand.

[Victor Ivrii]

Sketching phase portraits of non-linear systems by hand contains a big element of art, at least for non-integrable systems.  Because of this on Final very few pints are allocated to this