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The differential equation of all parabola having their
P axis of symmetry coinciding with the \( x \)-axis is

W
(1) \( y \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}=0 \)
(2) \( y \frac{d^{2} x}{d y^{2}}+\left(\frac{d x}{d y}\right)^{2}=0 \)
(3) \( y \frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}=0 \)
(4) None of these
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