Assignment 9

due Friday, Apr. 5

7.6.10 Solutions

7.6.26 Solutions

9.1.7 Solutions

9.1.10 Solutions

9.1.11 Solutions

9.2.8 Solutions

9.2.14 Solutions

E.1      Consider the system

$${\bf x}' = \pmatrix{1 & \beta\cr 1 & 2\cr} {\bf x}$$

depending on the parameter $\beta$ (which can take any real value). What are the possible classifications of the phase portrait, and to what values of $\beta$ do they correspond? Sketch the phase portraits for three values of $\beta$ with different classifications.

Solutions