The differential equation of all circles of r | vedclass

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Question

(A) The general equation of a circle with radius $a$ is given by $(x - h)^2 + (y - k)^2 = a^2$,where $(h, k)$ are the coordinates of the center.This e

Vedclass · Accepted Answer

$2$

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(A) The general equation of a circle with radius $a$ is given by $(x - h)^2 + (y - k)^2 = a^2$,where $(h, k)$ are the coordinates of the center.This equation contains two arbitrary constants,$h$ and $k$.The order of a differential equation is equal to the number of arbitrary constants present in the general solution of the family of curves.Since there are $2$ arbitrary constants,the order of the differential equation is $2$.

The differential equation of all circles of radius $a$ is of order:

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