A bacterial culture has initial population cells and grows so that with

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

Problem

A bacterial culture has initial population

500

cells and grows so that

\dfrac{dy}{dt}=ky

with

k=0.04\text{ min}^{-1}

. Determine the time, in minutes, required for the population to reach

1\,200

cells.