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  • Find the differential equation of system of concentric circles with centre (1, 2).`

Find the differential equation of system of concentric circles with centre (1, 2).

Answers (1)

To find: Differential equation of concentric circles whose center is (1,2)

Equation of the curve is given by

(x-a)2+(y-b)2=k2

Where (a,b) is the center and k, radius.

Subsitute the values now,

(x-1)2+(y-2)2=k2

Differentiate with respect to x

2(x-1)+2(y-2)\frac{dy}{dx}=0\\ (x-1)+(y-2)\frac{dy}{dx}=0\\ \frac{dy}{dx}=-\frac{(x-1)}{(y-2)}

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