Suggested problems

Suggested problems

Chapter 10

- Sec. 10.1, Exs. 5, 7, 11;
- Sec. 10.2, Exs. 1, 2, 3, 4, 5, 6, 7, 8, 15*, 16*;
- Sec. 10.3, Exs. 5, 6, 7, 8, 15, 16, 32, 33, 36;
- Sec. 10.4, Examples 1 and 2, page 639; Exs. 13, 16, 17;
- Sec. 8.1, Exs. 9, 12, 24, 26, 29, 30 ;
- Sec. 10.6, Exs. 8, 9, 17, 21, 22, 23.

Appendix G

Exs. 31, 36, 37, 40, 44, 45;

Chapter 18

- Sec. 18.1, Exs. 14, 15, 16, 17, 19, 22, 25, 26, 27;
- Sec. 18.3, Exs. 3, 5, 7.

Chapter 12

- Sec. 12.1, Exs. 20, 22, 24, 27, 42;
- Sec. 12.2, Exs. 19, 23, 24, 28, 31, 45;
- Sec. 12.3, Exs. 5, 6, 22, 23, 25;
- Sec. 12.4, Exs. 9, 10, 11, 27, 29;
- Sec. 12.5, Exs. 13, 14, 17, 19;
- Sec. 12.6, Exs. 3, 10, 21, 22, 26;
- Sec. 12.8, Exs. 3, 8, 20, 22, 28, 29;
- Sec. 12.9, Exs. 1, 4, 8, 13, 15, 26, 27;
- Sec. 12.10, know the boxed formulas on the top of page 792; Exs. 4, 5, 6, 11, 25, 26;
- Sec. 12.12, Exs 13, 14, 15, 16, 19, 24, 25.

Chapter 13

- Sec. 13.1, Exs. 3, 7, 14, 19, 30, 38;
- Sec. 13.2, Exs. 6, 21, 40;
- Sec. 13.3, Exs. 20, 27, 47, 52, 62;
- Sec. 13.4, Exs. 7, 9, 10, 18, 21, 27, 32;
- Sec. 13.5, Exs. 4, 9, 10, 16, 18, 33, 35, 49, 59, 62.

Chapter 14

- Sec. 14.1, Exs. 6, 15, 17, 18, 24*, 25*, 26*;
- Sec. 14.2, Exs. 6, 13, 21, 35, 41, 42;
- Sec. 14.3, Exs. 13, 17, 26, 34;
- Sec. 14.4, Exs. 13, 15, 18, 23, 26.

Chapter 15

- Sec. 15.1, Exs. 10, 16, 17, 23, 30e, 34, 37, 52, 56;
- Sec. 15.2, Exs. 12, 13, 19, 27, 34, 35;
- Sec. 15.3, Exs. 29, 35, 40, 47, 61;
- Sec. 15.4, Exs. 3, 4, 11, 12, 17, 19, 23, 27, 33;
- Sec. 15.5, Exs. 3, 6, 9, 11, 13, 21, 22, 27, 29, 37;
- Sec. 15.6, Exs. 1, 5, 10, 12, 15, 21, 25, 29, 36, 37, 39, 46, 47, 51, 52;
- Sec. 15.7, Exs. 3, 4, 6, 9, 16, 17, 27, 29, 33, 37, 39, 41, 45;
- Sec. 15.8, Exs. 1, 3, 5, 9, 16, 17, 19, 23, 25, 27, 27, 33, 39.


Note. Ignore the problems marked with an asterisk (*) if you do not know how to use a software like Maple, Mathematica, Matlab etc. that can create direction fields, level curves, vector fields, and other fancy graphs.