Math, asked by asutoshmaravi3741, 10 months ago

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

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Answered by Anonymous

Answer:

A circle that touches the x-axis, must have its center on the y-axis. Further, if the circle has radius r then it's center must be at (0,r). This equation is true for any r. We now want a differential equation corresponding to this family of curves

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