Pregunta: In the reference Fujikawa, H., Kai, A., Morozumi, S., A new logistic model for Escherichia coli growth at constant and dynamic temperatures, Food Microbiol 21, 5, (2004), the authors propose the following modification to the equation (1):

In the reference Fujikawa, H., Kai, A., Morozumi, S., A new logistic model for Escherichia coli growth at constant and dynamic temperatures, Food Microbiol 21, 5, (2004), the authors propose the following modification to the equation (1): where l and c are additional mathematical parameters that the authors set to (1−1/10^6 )k and 0.73, respectively.

Implement a fourth-order Runge-Kutta method to determine a numerical solution N1 to equation (2) taking into account the initial condition indicated in the experimental data D1 and the values of r and k associated with M1. Be careful to take a step size h such that time instants t = 0, 1, 2, ..., 20 are all taken into account in the numerical solution.