Q. 103.7( 3 Votes )

# From the differential equation of the family of circles having centers on y-axis and radius 2 units.

Answer :

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.

(1)

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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