Differential equation of the family of curves \( v=A / r+B \), where \( A \) and \( B \) are arb...

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Differential equation of the family of curves \( v=A / r+B \), where \( A \) and \( B \) are arbitrary constants, is
(A) \( \frac{d^{2} v}{d r^{2}}+\frac{1}{r} \cdot \frac{d v}{d r}=0 \)
(B) \( \frac{d^{2} v}{d r^{2}}-\frac{2}{r} \frac{d v}{d r}=0 \)
(C) \( \frac{d^{2} v}{d r^{2}}+\frac{2}{r} \cdot \frac{d v}{d r}=0 \)
(D) None of these
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