Hey guys,

Here are the suggested questions for those using the 9th edition. Again, I only compared the suggested problems listed on the course website, not all the questions in the textbook.

Sections 7.1-7.7: same

Section 7.8: 4, 5, 16, 18, 20, with the following changes to #18:

(c) Equation (iii) is satisfied if **Î¾** is an eigenvector, so one way to proceed is to choose Î¾ to be a suitable linear combination of **Î¾**^{(1)} and **Î¾**^{(2)} so that Eq. (iv) is solvable, and then to solve that equation for **Î·**. However, let us proceed in a different way and follow the pattern of Problem 17. First, show that **Î·** satisfies $$(A-I)^2Î·=0$$ Further, show that (**A**-**I**)^{2}=**0**. Thus **Î·** can be chosen arbitrarily, except that it must be independent of **Î¾**^{(1)} and **Î¾**^{(2)}.

(d) A convenient choice for **Î·** is **Î·**=(0, 0, 1)^{T}. Find the corresponding **Î¾** from Eq. (iv). Verify that **Î¾** is an eigenvector.

(f) Form a matrix **T** with the eigenvector **Î¾**^{(1)} in the first column and with the eigenvector **Î¾** from part (d) and the generalized eigenvector **Î·** in the other two columns. Find **T**^{-1} and form the product **J**=**T**^{-1}**AT**. The matrix **J** is the Jordan form of **A**.

(Note: 18(e) is unchanged)

Section 7.9: same

Sections 9.1-9.6: same

Section 9.7: same, with slight difference in the prompt

Determine all periodic solutions, all limit cycles, and the stability characteristics of all periodic solutions.

Sections 5.2-5.5: same

Section 6.1: Questions 21-24 in the 10th edition are not included in the 9th edition, and #27 is actually #23 in the 9th edition. Here are questions 21-24:

21. $$f(t)= \left\{\begin{array}{ll}

1, & 0 \le t < \pi\\

0, & \pi \le t < \infty

\end{array}

\right.$$

22. $$f(t)= \left\{\begin{array}{ll}

t, & 0 \le t < 1\\

0, & 1 \le t < \infty

\end{array}

\right.$$

23. $$f(t)= \left\{\begin{array}{ll}

t, & 0 \le t < 1\\

1, & 1 \le t < \infty

\end{array}

\right.$$

24. $$f(t)= \left\{\begin{array}{ll}

t, & 0 \le t < 1\\

2-t, & 1 \le t < 2\\

0, & 2 \le t < \infty

\end{array}

\right.$$

Section 6.2: #35 is #34 in the 9th edition. Also, the prompt for #25 should read:

A method of determining the inverse transform is developed in Section 6.3. You may wish to refer to Problems 21 through 24 in Section 6.1.

That's all! Hope that's helpful for everyone using the 9th edition!

P.S. This is my first time using LaTeX/MathJax. Please let me know if there are formatting/coding improvements I can make