Show that the stationary paths of the functional 1 S [x, y] = S²dt [/ - - [}{ (œÿ − yà) — \√ಠ+ ÿj² are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants. -
Show that the stationary paths of the functional 1 S [x, y] = S²dt [/ - - [}{ (œÿ − yà) — \√ಠ+ ÿj² are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants. -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Show that the stationary paths of the functional
1
S [x, y] =
S²dt [/
-
-
[}{ (œÿ − yà) — \√ಠ+ ÿj²
are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants.
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6c8ed7d-75cc-4e27-869e-3ad6a1efc0b4%2Fdb2a3327-49d0-43db-ae74-627c9eb290c1%2Fzppe2sr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that the stationary paths of the functional
1
S [x, y] =
S²dt [/
-
-
[}{ (œÿ − yà) — \√ಠ+ ÿj²
are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants.
-
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