A normal is drawn at a point $P (x, y)$ of a curve. It meets the x-axis at $Q ˙$ If $P Q$ has constant length $k,$ then show that the differential equation describing such curves is $y \frac{d y}{d x} = \pm k^{2} - y^{2}$ . Find the equation of such a curve passing through $(0, k) ˙$

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A normal is drawn at a point

P (x, y)

of a curve. It meets the x-axis at

Q ˙

P Q

has constant length

k,

then show that the differential equation describing such curves is

y \frac{d y}{d x} = \pm k^{2} - y^{2}

. Find the equation of such a curve passing through

(0, k) ˙

12 mins ago

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