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Differential Equations

Section: Mathematics

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Question : 15

Total: 23

consider the family of all circles whose center 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 function of x,y‌and‌y′(here‌y′=

),then which of the following statements is (are) true ?

[JEE Adv 2015 P1]

P=y+x
P=y−x
P+Q=1−x+y+y′+(y′)2
P−Q=x+y−y′−(y′)2

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