A culture begins with 50 bacteria and grows according to the differential equation

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

Problem

A culture begins with 50 bacteria and grows according to the differential equation dydt=0.3y\frac{dy}{dt}=0.3y, where tt is measured in hours. Calculate the instantaneous growth rate, in bacteria per hour, at t=2 ht=2\text{ h}.

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