Reading:
- Lesson 21A, but only through "case 1" (so pages 221-224).
- Also, comment 21.42 of Lesson 21A (page 229).
Homework
- The following exercises from Lesson 20 (page 220):
- The following exercises from Lesson 21 (page 231):
- 3, 4, 6, 7, 8, 9, 11, 24
- Try
to do exercise 22 with your usual method. (Your usual method is to
search for a particular solution which is a linear combination of the
linearly independent derivatives of sin(x) and e^(-x)). Observe that it
fails to work! Then try to do it using linearly independent derivatives
of x*sin(x) and e^(-x) instead.
Comment:
If you want to know how to deal with situations like the one in
exercise 22, you would have to look at the remaining cases of Lesson
21A. Really, you should just be aware that this can happen. I won't test
you on the details of how to deal with it.
Feel free to email questions to me or your TA. If you want, you can also ask questions on this form.