Let y(t) denote the number of E. coli cells in a container ofnutrient solution t minutes
Chapter 5, Problem 77(choose chapter or problem)
Let y(t) denote the number of E. coli cells in a container of nutrient solution t minutes after the start of an experiment. Assume that y(t) is modeled by the initial-value problem
\(\frac{d y}{d t}=(\ln 2) 2^{t / 20}, \quad y(0)=20\)
Use this model to estimate the number of E. coli cells in the container 2 hours after the start of the experiment.
Equation Transcription:
Text Transcription:
dy/dt=(ln 2)2^t/20, y(0) = 20
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