Solution: Determine the differential equation of the family of circles with center on the y-axis

Determine the differential equation of the family of circles with center on the y-axis.

Determine the differential equation of the family of circles with center on the y-axis.

Problem Statement:

Determine the differential equation of the family of circles with center on the y-axis.

  • A. (y”)3 – xy” + y’ = 0
  • B. y” – xyy” + y’ = 0
  • C. xy” – (y’)3 – y’ = 0
  • D. (y’)3 + (y”)2 + xy = 0

Problem Answer:

The differential equation of the family of lines is xy” – (y’)3 – y’ = 0

Solution:

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