Q. 94.0( 1 Vote )
Form the differential equation of the family of all circles touching the y-axis at the origin.
Equation of the family of all circles touching the y-axis at the origin can be represented by
(x-a)2+y2=a2, where a is an arbitrary constants.
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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