Homework 11 - Due Friday 20th November by 2pm
(Note there will be no class on this date, so you can hand the work in during Wednesday's class or at my office 230 McAllister)

Last homework before Thanksgiving, bring on the turkey! (or meat free turkey alternative)!

Before you start, make sure you know how to multiply two 2x2 matrices and how to multiply a 2x2 matrix with a vector.

We'll learn how to do the last two parts of C) on monday (16th november). You're all set for the rest.

A) Section 7.2 [Total 10 marks, 5 marks each]

Questions 22. and 23 'verify that the given vector satisfies the given differential equation'

B) Section 7.3 [Total 14 marks, 7 marks each]

'Find the eigenvalues and eigenvectors'

In 9th edition, questions 16. and 20.
In 8th edition, this is questions 15. and 19.

C) Section 7.5 [Total 14 marks]

For the system of ODE's given in section 7.5, question 1,

1) find the general solution [8 marks]
2) describe the behaviour as t goes to infinity [3 marks]
3) draw a picture of the trajectories of the system in the same style as figure 7.5.2a)   [3 marks]

+2 for presentation