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

Explanation

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

### Step 1: Rewrite the equation
We start with the given equation:
\[ \frac{dy}{dx} = e^{x+y} + x^2 e^y \]

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