Use the implicit differentiation to find dy' for lemniscate (x2+y2)= x²-y° %3= Convert the equation to polar torm formulas: using Rectangular Polar l) X=r cos @ (ii) y=r sın o Ciii) x²ty²=r²

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

Use inplicit differentiation and convert to polar. See images

Use the Implicit differentiation to find
dy' for lemniscate (x2+y2)= x²-y
%3D
dx
Convert the equation to polar torm
formulas:
Using
Rectangular
→ Polar
li) X=r cos © Cii) y=r sin a Ciii) x²+y²=r²
Transcribed Image Text:Use the Implicit differentiation to find dy' for lemniscate (x2+y2)= x²-y %3D dx Convert the equation to polar torm formulas: Using Rectangular → Polar li) X=r cos © Cii) y=r sin a Ciii) x²+y²=r²
(x² + y²)² = x² - y ²2
Transcribed Image Text:(x² + y²)² = x² - y ²2
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