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Consider the family of all circles whose...

Consider the family of all circles whose centers lie on the straight line `y=x` . If this family of circles is represented by the differential equation `P y^(primeprime)+Q y^(prime)+1=0,` where `P ,Q` are functions of `x , y` and `y^(prime)(h e r ey^(prime)=(dy)/(dx),y^=(d^2y)/(dx^2)),` then which of the following statements is (are) true? (a)`P=y+x` (b)`P=y-x` (c)`P+Q=1-x+y+y^(prime)+(y^(prime))^2` (d)`P-Q=x+y-y^(prime)-(y^(prime))^2`

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