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chapter 3 problem set

Page history last edited by sidjaggi 13 years, 5 months ago

ERG2011A Advanced Engineering Mathematics

(Syllabus A),

Problem Set 3

Kreyszig 9th edition - 3.1 - 3.3, Class Notes 3

1. (Wronskians) Write the Wronskian corresponding to the sets of functions, and thereby test for linear independence.

Formula

 

2. (Higher order ODEs) Kreyszig 9th Edition chapter 3.2, problems 15, 17.Solve the following initial value problem, giving a general solution and the particular solution.

Formula

 

3. Kreyszig 9th Edition chapter 3.3, problems 10, 11,12, 14.

Here D and I act as operators on y, i.e., Dy is defined as y', Formula as Formula, etc, and Formula simply as y.

Solve the following initial value problem. (Show the details.)

Formula

 

4. (Higher order ODEs) 

Kreyszig 9th Edition chapter 3 review questions, problems 6, 7, 9, 10, 13, 14, 15.

Here D and I act as operators on y, i.e., Dy is defined as y', Formula as Formula, etc, and Formula simply as y.
Solve the given ODE. (Show the details of your work.)

Formula

 

 

 

 

 

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