Consider the differential equation with

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

Problem

Consider the differential equation dydt=k(L−y)\dfrac{dy}{dt}=k(L-y) with k>0k>0. Determine whether y(t)y(t) is increasing or decreasing at a moment when y>Ly>L and briefly explain your reasoning.

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