d). Let u be an arbitrary increasing fn of t. show that ƒ [√xc² ) ² + ( 4 ) ³ + ( 3 ) ³ ] du = [[] x² + y² + z³] du where. x'=dx, Explain what this signifies geometricaly and why this means that one can assumes without loss of generality, that 11 = R along solution of the du

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Do part c and d urgent

A constrained extremisation Problem is expressed
as longronge multiplier problem with objective
functional.
I [X³ X] = √ [№₂ ²³+ y ²+ 3³ _K (t) (x² + y² +3²_R²) ]d²
where x = dx etc. and integeral has appropriate
fixed limitott
with fixed values of xoy and
Z at the endpoints.
Transcribed Image Text:A constrained extremisation Problem is expressed as longronge multiplier problem with objective functional. I [X³ X] = √ [№₂ ²³+ y ²+ 3³ _K (t) (x² + y² +3²_R²) ]d² where x = dx etc. and integeral has appropriate fixed limitott with fixed values of xoy and Z at the endpoints.
C). show that Beltrami-identity does not help you.
to solve the equation-
d). Let u be an arbitrary increasing fn of t. show
that,
[ [√x² ) ² + ( 4 ) ³ + ( 3 ) ³ ] du = [[] x² + y² + 3 ³ ] du
where. x'=dx, Explain what this signifies
du
geometrically and why this means that one can
assumes without loss of generality, that
11 = R along solution of the
Euler-longronge equations & -
Transcribed Image Text:C). show that Beltrami-identity does not help you. to solve the equation- d). Let u be an arbitrary increasing fn of t. show that, [ [√x² ) ² + ( 4 ) ³ + ( 3 ) ³ ] du = [[] x² + y² + 3 ³ ] du where. x'=dx, Explain what this signifies du geometrically and why this means that one can assumes without loss of generality, that 11 = R along solution of the Euler-longronge equations & -
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,