The differential equation of the family of hyperbolas with asymptotes as the line \( x+y=1 \) an...
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0The differential equation of the family of hyperbolas with asymptotes as the line \( x+y=1 \) and \( x-y=1 \) is
(A) \( y y^{\prime}+x=0 \)
(B) \( y y^{\prime \prime}+y^{\prime}=0 \)
(C) \( y y^{\prime}=(x-1) \)
(D) \( y^{\prime}+x y=0 \)
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