Obtain the differential equation of the given family of curve: y^2=x^3/(c-x) O A. 2x^3 y^'-3x^2 y+y^3=0 O B. 2x^3 y^'-3x^2 y-y^3=0 O C. 2x^3 y^'+3x^2 y-y^3=0 O D. x^3 y^'+x^2 y+y^3=0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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topic: family of curve

Obtain the differential equation of the given family of curve: y^2=x^3/(c-x)
O A. 2x^3 y^'-3x^2 y+y^3=0
о В. 2х^3 у^-3x^2 у-у^3-0
О С. 2х^3 ум'+3x^2 у-у^3-0
O D. x^3 y^'+x^2 y+y^3=0
Transcribed Image Text:Obtain the differential equation of the given family of curve: y^2=x^3/(c-x) O A. 2x^3 y^'-3x^2 y+y^3=0 о В. 2х^3 у^-3x^2 у-у^3-0 О С. 2х^3 ум'+3x^2 у-у^3-0 O D. x^3 y^'+x^2 y+y^3=0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,