Apentix/AP Calculus AB/Unit 7: Differential Equations/Question

AP Calculus ABeasymcq1 pt

For the differential equation $\dfrac{dy}{dx} = 4 - y$ , what is the equilibrium solution?

A.

y = 4

B.

y = 0

C.

y = -4

D.There is no equilibrium solution.

Explanation

Core Concept

Setting $4 - y = 0$ gives $y = 4$ , where the slope is zero and a solution starting there stays constant.

Correct Answer

A $y = 4$

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