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

Explanation

To solve the differential equation \( x y(y+1) dy = (x^2 + 1) dx \), we can follow these steps:

### Step 1: Rearranging the equation
We start by rewriting the differential equation in a separable form:
\[ y(y + 1) dy = \frac{x^2 + 1}{x} dx \]

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