Differential Equation

Find the differential equation satisfied by the family of curves below:

    \[cy^{2}=x^{2}\left(x-2\right)\]

Source: R.L. Rosenberg. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 44: Question 1(iv), p. 131)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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