To determine whether the given equation is a differential equation, review the definition provided in your textbook or in your class notes (or from other sources, such as Wikipedia).
Note: It might help to write the equation as [imath]\frac{dy}{dx} - x^2 - x = -4[/imath], or even as [imath]\frac{dy}{dx} = x^2 + x + 4[/imath].
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