Sumali sa IDNStudy.com at makakuha ng maraming kaalaman. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

find the differential equation of the family of the circles having thgeir centers at the origin

Sagot :

Family of Concentric Circles (circles having same center point, but different radii).

The equation that satisfies the family of concentric circles:

x² + y² = r²      

Differentiate x² + y² =r²

[tex]2x + 2y \frac{dy}{dx}= 0 [/tex]

[tex]x + y \frac{dy}{dx} =0[/tex]