| Section | You should be able to ... | Examples | Review Exercises |
|---|---|---|---|
| 16.1 | 1 Classify ordinary differential equations (p. 1059) | 1 | 1–4 |
| 2 Verify the solution of an ordinary differential equation (p. 1060) | 2 | 5–8 | |
| 16.2 | 1 Solve a separable first-order differential equation (p. 1062) | 1 | 13, 19, 29, 30, 32, 34 |
| 2 Identify a homogeneous function of degree \(k\) (p. 1063) | 2 | 9–12 | |
| 3 Use a change of variables to solve a homogeneous first-order differential equation (p. 1064) | 3, 4 | 21, 26, 28, 33 | |
| 4 Solve applied problems (p. 1066) | 5, 6 | 39, 41 | |
| 16.3 | 1 Identify and solve an exact differential equation (p. 1074) | 1–3 | 14, 17, 20 |
| 16.4 | 1 Solve a first-order linear differential equation (p. 1078) | 1 | 15, 16, 18, 22, 25, 27, 31 |
| 2 Solve applied problems involving first-order linear differential equations (p. 1079) | 2, 3 | 40 | |
| 3 Find the general solution of a Bernoulli equation (p. 1082) | 4 | 23, 24 | |
| 4 Solve applied problems (p. 1083) | 5 | 42 | |
| 16.5 | 1 Use power series to solve a linear differential equation (p. 1089) | 1–4 | 35–38 |