Find the differential equation of a family of circles, each having its center on the line y = z and each passing through the origin. Oy=Y¹-2-2² y²-2ry-2² O y'= y²-4ay-22¹ +4ry-20¹ y² + 2y+z² ²+2y+z¹ O y = Oy=1¹-22-22 y² + 2ry-z² Oy y²+2y+z² y²+2y+z² ¹-2ay-2¹ Oy v²+2ry-z² ter on the line y can =

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