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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 Py + Qy +1= 0, where P,Q ar functions of dy a, yandy (here y = dy y" = da dr? then which of the following statements is (are) true? (1) P = y + x (2) P = y -x (3) P+Q = 1- r +y +y + (y)

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 Py + Qy +1= 0, where P,Q ar functions of dy a, yandy (here y = dy y" = da dr? then which of the following statements is (are) true? (1) P = y + x (2) P = y -x (3) P+Q = 1- r +y +y + (y)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 Py + Qy + 1 = 0, where P,Q are functions of dy x, yandy' (here y dx dx2 then which of the following statements is (are) true? (1) P = y + x (2) P = y - x (3) P+Q =1- x +y + y + (4) P - Q = x +y-y
Transcribed Image Text: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 Py + Qy + 1 = 0, where P,Q are functions of dy x, yandy' (here y dx dx2 then which of the following statements is (are) true? (1) P = y + x (2) P = y - x (3) P+Q =1- x +y + y + (4) P - Q = x +y-y
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