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Find the equation of the curve passing t...

Find the equation of the curve passing through the point (0, -2) given that at any point `(x , y)` on the curve the product of the slope of its tangent and `y` coordinate of the point is equal to the x-coordinate of the point.

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Slope of tangent at any point `(x, y)` on the curve is given by `\frac{d y}{d x}`. $$ \begin{aligned} &y \frac{d y}{d x}=x \\ &y d y=x d x \end{aligned} $$ On Integrating both sides, ...
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