Consider the differential equation with and constant

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

Consider the differential equation dTdt=−k (T−Ts)\dfrac{dT}{dt}=-k\,(T-T_s) with k>0k>0 and constant TsT_s. In one sentence, explain why dTdt\dfrac{dT}{dt} is negative when T>TsT>T_s.

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