Question

Find the differential equation that will represent family of circle having centre at (a,0) and radius r. ​

Answer 1

Answer:

(x-a)^2+y^2=r^2

differentiate w.r.t x

2(x-a)+2ydy/dx =0

(x-a)+ydy/dx =0

differentiate w.r.t. x

1+(dy/dx)^2+yd^2y/dx^2=0