The normal form of the equation of a line is $x \cos \alpha + y \sin \alpha = p$. Find the differential equation of the family of all such lines, where $p$ and $\alpha$ are arbitrary constants.
- A$\frac{d^2y}{dx^2} = 0$
- B$\frac{dy}{dx} = 0$
- C$\frac{dy}{dx} = -\cot \alpha$
- D$\frac{d^2y}{dx^2} = \csc^2 \alpha$
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