Prove that evolute of the ellipsé x2 y? = 1 a? b2 is (ax)2/3 +(by)2/3 = (a² – b²)²/3. %3D
Prove that evolute of the ellipsé x2 y? = 1 a? b2 is (ax)2/3 +(by)2/3 = (a² – b²)²/3. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(b) Prove that evolute of the ellipse
x2
3D1
a?
is (ax)2/3 + (by2/3 = (a² – b²)2/3,
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4689b3e6-b14a-4257-b375-518604af5ec3%2F7a67c75d-d654-4431-b86d-8c347f9187bf%2Fhk9n8re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Prove that evolute of the ellipse
x2
3D1
a?
is (ax)2/3 + (by2/3 = (a² – b²)2/3,
-
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