- #1
EvLer
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I am not really sure how to get right values for variables/constants:
A tank contains 100 gallons of salt water which contains 10 lbs of salt. A salt solution of 2 lbs salt per gallon enters the tank at a rate of 3 gallons perminute while a flow of fresh water runs into the tank at rate 5 gallons per minute.
The well-stirred solution runs out of the tank at rate of 7 gall/min. Let A(t) be the amount of salt in lbs at time t in mins. The initial value problem for A(t) is ...
(to be found as a DE with IC).
V(0) = 100
r2(flow rate) = 7 gall/min
A(0) = 10 gal.
The underlined section is where I need some help, at least then I can start on the problem and see how I end up.
Thanks in advance.
A tank contains 100 gallons of salt water which contains 10 lbs of salt. A salt solution of 2 lbs salt per gallon enters the tank at a rate of 3 gallons perminute while a flow of fresh water runs into the tank at rate 5 gallons per minute.
The well-stirred solution runs out of the tank at rate of 7 gall/min. Let A(t) be the amount of salt in lbs at time t in mins. The initial value problem for A(t) is ...
(to be found as a DE with IC).
V(0) = 100
r2(flow rate) = 7 gall/min
A(0) = 10 gal.
The underlined section is where I need some help, at least then I can start on the problem and see how I end up.
Thanks in advance.
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