"a tank contains 100L of brine whose concentration is 3g/L. 3L of brine whose concentration is 2g/L flow into the tank each minute and at the same time 3L of mixture flow out each minute. Derive the equation Q=200+100e^(-0.03t)"
let Q be quantity of salt at time t
dQ/dt= rate of inflow - rate of outflow
= 6 - 3Q/100
= (600-3Q)/100
dt/dQ= 100/(600-3Q)
dt=100dQ/(600-3Q)
t=(-100/3)ln(600-3Q)+C
when t=0, Q=300
subbing back into eqation, 600-3Q<0, so its undefinied, wat the hell's happening here? someone help
let Q be quantity of salt at time t
dQ/dt= rate of inflow - rate of outflow
= 6 - 3Q/100
= (600-3Q)/100
dt/dQ= 100/(600-3Q)
dt=100dQ/(600-3Q)
t=(-100/3)ln(600-3Q)+C
when t=0, Q=300
subbing back into eqation, 600-3Q<0, so its undefinied, wat the hell's happening here? someone help