6. A tank contains 200 liters of pure water. Brine containing 1kg of salt per liter runs into the tank at the rate of 3 liters per minute. The solution is mixed and runs out of the tank at the same rate. (a) Find an initial value problem to model this scenario. Be sure to use correct units and show your work. Do not solve the equation. (b) What if the water runs out of the tank at only 2 liters per minute instead of 3? This means that each minute the volume of liquid in the tank will increase by 1 liter. How does that affect the initial value problem from part (a)? (Assume the tank is large enough so it doesn't overflow.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. A tank contains 200 liters of pure water. Brine containing 1kg of salt per liter runs into the
tank at the rate of 3 liters per minute. The solution is mixed and runs out of the tank at the
same rate.
(a) Find an initial value problem to model this scenario. Be sure to use correct units and
show your work. Do not solve the equation.
(b) What if the water runs out of the tank at only 2 liters per minute instead of 3? This
means that each minute the volume of liquid in the tank will increase by 1 liter. How
does that affect the initial value problem from part (a)?
enough so it doesn't overflow.)
(Assume the tank is large
Transcribed Image Text:6. A tank contains 200 liters of pure water. Brine containing 1kg of salt per liter runs into the tank at the rate of 3 liters per minute. The solution is mixed and runs out of the tank at the same rate. (a) Find an initial value problem to model this scenario. Be sure to use correct units and show your work. Do not solve the equation. (b) What if the water runs out of the tank at only 2 liters per minute instead of 3? This means that each minute the volume of liquid in the tank will increase by 1 liter. How does that affect the initial value problem from part (a)? enough so it doesn't overflow.) (Assume the tank is large
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