1. MAT 3237 Differential Equations Section 3.4 Undetermined Coefficients Part II http://myhome.spu.edu/lauw

2. Next Quiz 3.2 - 3.4 Exam 1 on Thursday…..

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4. Guessing Guide Sum ProductProduct*

5. Example 1(a) Find a particular solution of

6. Example 1(a) Find a particular solution of

7. Example 1(a) Find a particular solution of

8. Example 1(a) Find a particular solution of

9. Example 1(a) Find a particular solution of

10. Example 1(b) Find a particular solution of Finish this in classwork

11. Example 2 Find a particular solution of

12. Example 2

13. 1. It does not work. Why? 2. How to detect duplications? 3. How to make it work? Duplications Find y c first Mult. by x k

14. Example 2 1. It does not work. Why? 2. How to detect duplications? 3. How to make it work? Duplications Find y c first Mult. by x k

15. Example 2 1. It does not work. Why? 2. How to detect duplications? 3. How to make it work? Duplications Find y c first Mult. by x k

16. Example 2 1. It does not work. Why? 2. How to detect duplications? 3. How to make it work?

17. Example 2 1. It does not work. Why? 2. How to detect duplications? 3. How to make it work?

18. Remark The rule is to multiply by x, x 2, x 3, …until there are no duplications with the complementary solution. Again, we will skip the proof here. Note that the text does not have the prrof.

19. Example 2