Solve the differential equation: `y^2+(x-1/y)(dy)/(dx)=0\ `

Explanation

To solve the differential equation \( y^2 + \left( x - \frac{1}{y} \right) \frac{dy}{dx} = 0 \), we will follow these steps:

### Step 1: Rearranging the Equation
First, we rearrange the given equation:
\[ y^2 + \left( x - \frac{1}{y} \right) \frac{dy}{dx} = 0 \]
This can be rewritten as:
...