differential equation of all parabolas having their axis of symmetry coinciding with the axis of...

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differential equation of all parabolas having their axis of symmetry coinciding with the axis of \( X \),
(A) \( y \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}=0 \)
(B) Content not found
(C) \( y \frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}=0 \)
(D) none of these
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