Logistics differential equation help, Yahoo Answers 1

Logistics differential equation help? I'm actually not sure what a logistics differential equation is as opposed to a normal differential equation, but my teacher told us to take a look at. show more I'm actually not sure what a logistics differential equation is as opposed to a normal differential equation, but my teacher told us to take a look at this problem and despite looking at the book I am very confused. Here it is: The logistics differential equation dy/dt = ky (1 - y/L) produces y = L / (1 + be^kt) Find the value of b for the logistics differential equation: dP/dt = 3P/20 - (P^2) / 1200 given the initial condition (0, 15). Please explain step by step as clearly and as thoroughly as you can. Thanks. Re-writing dP/dt in the form ky(1 - y/L) => dP/dt = 3P/20*(1 - (P/180)) P = 180/(1 + be^(3t/20)) Plugging in initial condition: 15 + 15b = 180 => b = 11. Choose option D. Related Questions. Report Abuse. Report Abuse. Report Abuse. Asking costs 5 points and then choosing a best answer earns you 3 points! Questions must follow community guidelines.