Q. 103.7( 3 Votes )
From the differential equation of the family of circles having centers on y-axis and radius 2 units.
Equation of the family of circles having centers on y-axis and radius 2 units can be represented by
(x)2+(y – a)2= 4, where a is an arbitrary constant.
Differentiating the above equation with respect to x on both sides, we have,
Substituting the value of a in equation (1)
Rearranging the above equation
This is the required differential equation.
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