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# Solution: 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 a center on the y-axis.

• A. (yโ)^3 โ xyโ + yโ = 0
• B. yโ โ xyyโ + yโ = 0
• C. xyโ โ (yโ)^3 โ yโ = 0
• D. (yโ)3 + (yโ)^2 + xy = 0

#### Problem Answer:

The differential equation of the family of lines is xyโ โ (yโ)^3 โ yโ = 0

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