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Consider the family of all circles whose...

Consider the family of all circles whose centres lie on the straight line y = x. If this family of circles is represented by the differential equation `"Py"''+"Qy"'+1=0`, where P, Q are functions of x, y and y' (here `y'=(dy)/(dx),y''=(d^(2)y)/(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'+(y')^(2)`

D

`P-Q=x+y-y'-(y')^(2)`

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