Solve the differential equation
`(1+x)(1+y^(2))dx+(1+y)(1+x^(2))dy =0.`

Explanation

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

### Step 1: Rewrite the Equation
We start by rewriting the given differential equation in a more manageable form:
\[ (1+x)(1+y^2)dx + (1+y)(1+x^2)dy = 0 \]

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