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

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

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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