tank contains 1000L of water with 15kg of salt dissolved in it. Pure water enters tank at 10L/min and the mixture leaves at the same rate. How much salt is in the tank after t minutes?
Work:
let y(t)=mass of salt in water
y(0)=15kg
dy/dt = rate in - rate out
rate in = 0 because no salt is entering
rate out =
This becomes a seperatable equation so I get solving for y I get
The answer given is