The differential equation of all vertical lines in a plane is?

\frac{d^{2} y}{d x^{2}} = 0

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\frac{d^{2} x}{d y^{2}} = 0

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\frac{d y}{d x} = 0

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\frac{d x}{d y} = 0

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Solution

The correct option is D $\frac{d y}{d x} = 0$
Vertical line are $y = k$
$\frac{d y}{d x} = 0$

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\frac{d^{2} y}{d x} - (\frac{d y}{d x})^{2} + 3 y = 0

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\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + y = 0

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