Differential Equations, Lecture 4.7: Phase portraits with repeated eigenvalues

Differential Equations, Lecture 4.7: Phase portraits with repeated eigenvalues.

There are two general cases of a 2x2 system x'=Ax when A has repeated eigenvalues: either there are two eigenvectors or there are one. We look at both cases in this lecture. The first is quite simple and only happens when A=cI (the identity matrix). The second is more complicated because finding the 2nd solution can be tricky. We see how to do this and what the resulting phase portrait looks like.

[RoryMacKinnon-wxye]

Can’t tell you how much this has helped. Thank you