A reservoir initially contains 2000m3 pure water. At time t=0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 200 m3 per month. The well-mixed water in the reservoir flows out at the same rate.
a) Assume the pollutant concentration c (t) =20 [1 + cos (t)](L/m3), find the amount P (t) of pollutant in the reservoir after t months;
b) Use Euler’s method with h=0.5, h=0.25 to graph the solution on the interval [0, 10]. Estimate the amount of pollutant in the reservoir after 10 months and tabulate the results with appropriate headings in each step.
a) Assume the pollutant concentration c (t) =20 [1 + cos (t)](L/m3), find the amount P (t) of pollutant in the reservoir after t months;
b) Use Euler’s method with h=0.5, h=0.25 to graph the solution on the interval [0, 10]. Estimate the amount of pollutant in the reservoir after 10 months and tabulate the results with appropriate headings in each step.