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

Explanation

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

### Step 1: Rearranging the Equation
We start by rearranging the given equation to isolate \( dy \) and \( dx \):

\[ x(e^{2y} - 1) dy = - (x^2 - 1)e^y dx \]
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