differential equation of all parabolas whose axes are parallel to \( y \)-axis. (A) \( \frac{d^{...

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differential equation of all parabolas whose axes are parallel to \( y \)-axis.
(A) \( \frac{d^{3} y}{d x^{3}}=0 \)
(B) \( \frac{d^{2} x}{d y^{2}}=C \)
(C) \( \frac{d^{3} y}{d x^{3}}+\frac{d^{2} x}{d y^{2}}=0 \)
(D) \( \frac{d^{2} y}{d x^{2}}+2 \frac{d y}{d x}=C \)
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