Subject: Data Analysis A Differential equation with given data points is assigned to the mentioned groups. A polluted lake has an initial concentration of a bacteria of 10' parts/m, while the acceptable level is only 5x10 parts/m. The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by dC + 0.06 C = 0, C (0) = 10? dt Using Runge-Kutta 4th order method Euler's method and a step size of 10.5 weeks, find the concentration of the pollutant after 14 weeks and analyze their result graphically. Given data: at t = 14 weeks, and step size h = 10.5 weeks A polluted lake has an initial concentration of a bacteria of 107 parts/m3, while the acceptable level is only 5 10%parts/m. The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by dc +0.06 C = 0,C(0) = 107 dt Using Runge-Kutta 4th order method Euler's method and a step size of 10.5 weeks, find the concentration of the pollutant after 14 weeks and analyze their result graphically. Subject: Data Analysis A Differential equation with given data points is assigned to the mentioned groups. A polluted lake has an initial concentration of a bacteria of 10' parts/m, while the acceptable level is only 5x10 parts/m. The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by dC + 0.06 C = 0, C (0) = 10? dt Using Runge-Kutta 4th order method Euler's method and a step size of 10.5 weeks, find the concentration of the pollutant after 14 weeks and analyze their result graphically. Given data: at t = 14 weeks, and step size h = 10.5 weeks A polluted lake has an initial concentration of a bacteria of 107 parts/m3, while the acceptable level is only 5 10%parts/m. The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by dc +0.06 C = 0,C(0) = 107 dt Using Runge-Kutta 4th order method Euler's method and a step size of 10.5 weeks, find the concentration of the pollutant after 14 weeks and analyze their result graphically