Chapter 5.3, Problem 77ES

Let $y\left(t\right)$ denote the number of $E$ . coli cells in a container of nutrient solution t minutes after the start of an experiment. Assume that $y\left(t\right)$ is modeled by the initial-value problem

$\frac{dy}{dt}=\left(\ln 2\right)2^{t/20},y\left(0\right)=20$

Use this model to estimate the number of $E$ . coli cells in the container $2$ hours after the start of the experiment.