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

Explanation

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

### Step 1: Rearranging the Equation
We start by rearranging the given equation:
\[ (1 + e^{2x}) dy = -(1 + y^2)e^x dx \]
Dividing both sides by \((1 + e^{2x})(1 + y^2)\):
...