1. **Stating the problem:** We need to find $\frac{dy}{dx}$ given the differential equation $$\frac{dy}{dx} - y = e^x y^2.$$ 2. **Rewrite the equation:** Add $y$ to both sides to isolate $\frac{dy}{dx}$: $$\frac{dy}{dx} = y + e^x y^2.$$ 3. **Explanation:** This is a first-order differential equation expressed explicitly for $\frac{dy}{dx}$. The right side depends on both $x$ and $y$. 4. **Interpretation:** The expression for $\frac{dy}{dx}$ is already given explicitly, so the derivative of $y$ with respect to $x$ is: $$\boxed{\frac{dy}{dx} = y + e^x y^2}.$$ 5. **Summary:** The problem asked for $\frac{dy}{dx}$ in terms of $x$ and $y$, and the equation provides it directly after rearrangement.