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Solution: What is the differential equation of the family of parabolas?

What is the differential equation of the family of parabolas?

Problem Statement: CE Board May 1996

What is the differential equation of the family of parabolas having their vertices at the origin and their foci on the x-axis?

  • A. 2x dy – y dx = 0
  • B. x dy + y dx = 0
  • C. 2y dx – x dy = 0
  • D. dy / dx – x = 0

Problem Answer:

The differential equation of the family of parabolas is 2xdy – ydx = 0

Solution:

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