Find the equation of the curve passing through the point `(-2,3)` given that the slope of the tangent to the curve at any point `(x ,y)i s(2x)/(y^2)dot`

Explanation

To find the equation of the curve passing through the point \((-2, 3)\) with the slope of the tangent at any point \((x, y)\) given by \(\frac{2x}{y^2}\), we can follow these steps:

### Step 1: Set up the differential equation
The slope of the tangent to the curve is given by:
\[ \frac{dy}{dx} = \frac{2x}{y^2} \]

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