
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Topic Video
Question
Explain the determine purple and the eqaution is here

Transcribed Image Text:functions, and we conclude that
/1(ri)
-Ci.
(4.336)
01(ri)
Consequently, the solution to the system given by equation (4.329) is vk and
Uk as expressed in equations (4.333) and (4.334), with the conditions between
the coefficients given by equation (4.336). Thus, the solution contains only n
arbitrary constants.
4.8.1
Example A
Consider the equations
(4E – 17)ur + (E – 4)vk = 0,
(4.337)
(2E – 1)uk + (E – 2)vk
0.
Solving for v gives
(E² – 8E + 15)vk = (E – 3)(E – 5)vk = 0,
(4.338)
LINEAR DIFFERENCE EQUATIONS
159
which has the solution
Vk =
c13k + c25k.
(4.339)
Using equation (4.336), we obtain
3 – 4
C1
- 17
C1
С1,
12
(4.340a)
1
-C2 = –
17
1
C2
20
3
Therefore, the solution for Uk
is
Uk
713k + ē25k = -1/sc,3* – 1/3c25*.
(4.340b)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,

Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education

Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

