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Which of the following is the differential equation of the family of circles with center on the line y=-x, and passing through the origin O(x²-2xy + y²) dx + (x² + 2xy + y²) dy=0 O (x²+2xy-y²) dx + (x²+2xy-y²) dy=0 ○ (x² − 2xy − y²) dx + (x² + 2xy − y²) dy=0 O (x²-2xy-y2) dx + (x² + 2xy + y²) dy=0

Which of the following is the differential equation of the family of circles with center on the line y=-x, and passing through the origin O(x²-2xy + y²) dx + (x² + 2xy + y²) dy=0 O (x²+2xy-y²) dx + (x²+2xy-y²) dy=0 ○ (x² − 2xy − y²) dx + (x² + 2xy − y²) dy=0 O (x²-2xy-y2) dx + (x² + 2xy + y²) dy=0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 41CR
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Which of the following is the differential equation of the family of circles with center on the line y = -x, and passing through the origin? O (x²-2xy + y²) dx + (x²+2xy + y²) dy=0 O (x²+2xy-y²) dx + (x²+2xy-y²) dy=0 O (x²-2xy-y2) dx + (x²+2xy-y²) dy=0 O(x²-2xy-y²) dx + (x² + 2xy + y²) dy=0
Transcribed Image Text:Which of the following is the differential equation of the family of circles with center on the line y = -x, and passing through the origin? O (x²-2xy + y²) dx + (x²+2xy + y²) dy=0 O (x²+2xy-y²) dx + (x²+2xy-y²) dy=0 O (x²-2xy-y2) dx + (x²+2xy-y²) dy=0 O(x²-2xy-y²) dx + (x² + 2xy + y²) dy=0
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