Page | HW | Class | Topic |
6 | 1.15 | 1.14 | Notations |
6 | 1.16 | Notations | |
6 | 1.19 | Notations | |
6 | 1.23 | 1.21 | Notations |
6 | 1.27 | Solution by inspection | |
23 | 3.36 | 3.39 | Separation of variables |
23 | 3.43 | 3.42 | Separation of variables |
23 | 3.51 | 3.50 | Homogeneous equations |
23 | 3.53 | Homogeneous equations | |
33 | 4.31 | 4.32 | Exact equations |
33 | 4.33 | Exact equations | |
33 | 4.38 | Exact equations | |
41 | 5.47 | 5.34 | Linear equations |
41 | 5.39 | 5.38 | Bernoulli equations |
63 | 6.34 | Radioactive decay | |
64 | 6.58 | Air resistance | |
66 | 6.74 | RC circuit | |
81 | 8.27 | 8.18 | Constant coefficient equations |
81 | 8.30 | 8.19 | Constant coefficient equations |
81 | 8.38 | 8.21 | Constant coefficient equations |
86 | 9.18 | Constant coefficient equations | |
86 | 9.19 | Constant coefficient equations | |
96 | 10.44 | 10.45 | Constant coefficient equations |
96 | 10.46 | Constant coefficient equations | |
96 | 10.48 | 10.47 | Constant coefficient equations |
102 | 11.12 | 11.10 | Constant coefficient equations |
102 | 11.15 | Constant coefficient equations | |
102 | 11.28 | 11.25 | Constant coefficient equations |
107 | 12.12 | 12.11 | Constant coefficient equations |
122 | 13.39 | Spring mass system | |
123 | 13.52 | RCL circuit | |
124 | 13.71 | Unsteady buoyancy | |
198 | 22.20 | 22.12 | Solve as a system (required) |
Note: make a graph of the solution for each solved problem.
Also solve the 4 questions below:
y'' + 2xy' - 2y = 0.
Note that y=x is one solution. Solution: