Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. What would a system of first order of differential equations look like for this situation?
Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. What would a system of first order of differential equations look like for this situation?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions
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| Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. |
What would a system of first order of differential equations look like for this situation?
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