4.5 Answers to Exercises for Part 4

← 4.5 Exercises for Part 4

Answers for exercises for part 4

Here we take questions 1a-1h and give the answers bit by bit. Do not worry about the code here!!

First of all the Eigenvalues and Eigenvectors:

Next we show where each of them appears on the classification picture:

Figure 1

And finally we give the phase portraits for each of them:

These are just some functions defined to help draw the arrows and set the boundary conditions.

1a:

Figure 2

1b:

Figure 3

1c:

Figure 4

1d:

Figure 5

1e:

Figure 6

1f:

Figure 7

1g:

Figure 8

1h:

Figure 9

← 4.5 Exercises for Part 4