Practice Problems for ODE final

List of problems recommended by Charu!

Chapter 3

3.1:  Example 1, Example 2

Problem Set 3.1:  Q7 – Q11

Problem Set 3.3:  2, 3, 5, 6, 10, 13, 15

3.6:  Example 1, Example 2

Problem Set 3.6: 2, 3, 5, 7, 8, 9, 10, 12, 13, 14, 15

Chapter 5

Table 5.1

Problem Set 5.1:  1, 2, 3, 4, 5, 6, 9 , 12, 14, 16, 17, 19, 20, 22, 24, 26, 27, 28, 32, 33, 34, 36,, 37, 38, 39.

5.2: Example 1, Example 2, Example 3, Example 4, Example 7, Example 8

Problem Set 5.2:  1, 2, 4, 7, 9, 13 – 20

5.3: Example 1, Example 2

Problem Set 5.3:  2, 4, 6, 7, 8 – 13, 21, 22 – 30.

5.4: Example 2, Example 3

Problem Set 5.4:  1-16

5.5: Example 1, Example 2, Example 3, Example 4

Problem Set 5.5:  1 – 33

Note:

You can use formulas listed in table 5.1 without proof. Apart from this table, other formulas for Laplace and Inverse Laplace of the function given by various theorems in Chapter 5 can also be used without proof. Any other formula used must be accompanied by a brief reasoning.