Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
![Hence the two required functionals are
So that
Changing Dependent Variables
The solutions are
S[Z1, Z2] S₁ [21] + S₂[z2].
Hence the resulting 'uncoupled' EL equations are given by
z₁ + 10Z₁ = 0, z = 0.
у1 =
Z1 = A. cos 10x + B. sin √10x, z2 = Cx + D.
Translating these back to give solutions in terms of the original dependent variables gives
=
1
=
dx
51/21-/ dr (10 (26²-2²).
S2[²2] = / dx (11(²2)²2).
-(Z1 - 3z2)
10
1
((A.C cos √√10x + B. sin √10x) − 3(Cx + D))
3C
3D
B
10
10
10
Here I'd absorb the constant factors and write this as y₁ = A cos √10x + B sin √10x + Cx + D.
10
A
10
cos √ 10x +
why not use
sin √10x
± √TO ? ?
-X-](https://content.bartleby.com/qna-images/question/59d44c96-efb1-4f3c-83b3-5a6a84cf94cb/385c334d-cdde-4ee7-9324-177adc81a20c/kbjphtq_processed.jpeg)
Transcribed Image Text:Hence the two required functionals are
So that
Changing Dependent Variables
The solutions are
S[Z1, Z2] S₁ [21] + S₂[z2].
Hence the resulting 'uncoupled' EL equations are given by
z₁ + 10Z₁ = 0, z = 0.
у1 =
Z1 = A. cos 10x + B. sin √10x, z2 = Cx + D.
Translating these back to give solutions in terms of the original dependent variables gives
=
1
=
dx
51/21-/ dr (10 (26²-2²).
S2[²2] = / dx (11(²2)²2).
-(Z1 - 3z2)
10
1
((A.C cos √√10x + B. sin √10x) − 3(Cx + D))
3C
3D
B
10
10
10
Here I'd absorb the constant factors and write this as y₁ = A cos √10x + B sin √10x + Cx + D.
10
A
10
cos √ 10x +
why not use
sin √10x
± √TO ? ?
-X-
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 3 steps with 2 images
Knowledge Booster
Similar questions
- Which of the following is FALSE for the equation y-y= 0? All solutions to the equation are of the form Ce + cze . All solutions to the equation are of the form c sin(t) +c2 cos(t) All solutions to the equation are of the form c, + c,, e+e 2 All solutions to the equation are of the form C sinh(t) + c» cosh(t). S O O O Oarrow_forwardNeed some help on #1, got stuck and now I'm confused. Explain throughly please, thanks.arrow_forward
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory 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,