Solve the differential equation `(dy)/(dx)=e^(2x-y)+x^(2)*e^(-y)`.

Explanation

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

### Step 1: Rewrite the equation
We start with the given differential equation:
\[ \frac{dy}{dx} = e^{2x - y} + x^2 e^{-y} \]
We can rewrite the right-hand side as:
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