7. a. A colony of bacteria grows according to the Malthusian growth model dB = 0.01 B, B(0) = 1000, dt where t is in min
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7. a. A colony of bacteria grows according to the Malthusian growth model dB = 0.01 B, B(0) = 1000, dt where t is in min. Solve this differential equation and determine how long it takes for this population to double. b. Because it takes a short time to adjust to the new medium, a better model is given by dB = 0.01(1 - e-)B, B(0) = 1000. dt Solve this differential equation. c. Compare the populations predicted at t = 5 and 60 min.