Show that the family of curves for which the slope of the tangent at any point (x, y) on it is `(x^2+y^2)/(2x y)`, is given by `x^2 -y^2= c x`.

Explanation

To show that the family of curves for which the slope of the tangent at any point (x, y) is given by \(\frac{x^2 + y^2}{2xy}\) is represented by the equation \(x^2 - y^2 = cx\), we will follow these steps:

### Step 1: Set up the differential equation
The slope of the tangent at any point (x, y) is given by:
\[ \frac{dy}{dx} = \frac{x^2 + y^2}{2xy} \]

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