Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed throughout the lake with a concentration y(t)/12200 tons/km^3.

Question

assume that fresh water enters the lake at a rate of 67.1 km^3/yr, and that water leaves the lake at the same rate. suppose that pollutants are added directly to the lake at a constant rate of 550 tons/yr.

A) write a differential equation for y(t).

B) solve the differential equation for initial condition y(0)=200000 to get an expression for y(t). Use your solution to y(t) to describe in practical terms what happens to the amount of pollutants in the lake as t goes from 0 to infinity.

Answer 1

answer the question

Answer 2

yes someone please answer this question

Answer 3

for part a -
dy/dt=-67.1(y/12200)+550=-0.055y+550

for part b -
you can solve it with that initial condition :)

Answer 4

lmaoo i just realized im 5 years late