MAT 3237 Differential Equations Section 3.4 Undetermined Coefficients Part II

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Presentation transcript:

MAT 3237 Differential Equations Section 3.4 Undetermined Coefficients Part II

Next Quiz Exam 1 on Thursday…..

Preview

Guessing Guide Sum ProductProduct*

Example 1(a) Find a particular solution of

Example 1(a) Find a particular solution of

Example 1(a) Find a particular solution of

Example 1(a) Find a particular solution of

Example 1(a) Find a particular solution of

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

Example 2 Find a particular solution of

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

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

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

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

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

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.

Example 2