For the differential equation

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

For the differential equation dydx=x2−4\dfrac{dy}{dx}=x^{2}-4, determine the intervals of xx on which every solution curve is increasing and the intervals on which every solution curve is decreasing. Justify your answer based on the sign of the slopes indicated by the slope field.

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