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Suppose that you were given two tanks filled with brine that were connected by pipes.At a rate of 10 gallons per minute, the brine is flowing through the first pipe from the first tank to the second tank.At the same rate, the brine is flowing through the second pipe from the second tank to the first tank.The initial volume of brine in the first tank is 50 gallons, and the amount of salt is 15 pounds.The second tank initially contains 25 gallons of pure water.If represents the amount of salt in the first tank and represents the amount of salt in the second tank as a function of time, which of the following statements is true regarding the system of ordinary differential equations which model this system?

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MCQs on Differential Equations.


Suppose that you were given two tanks filled with brine that were connected by pipes.At a rate<br><img src='https://www.fatskills.com/images2/GradExams/C08BCEFB-EFD9-43C6-8217-2E3080A169F3.png' height='10' width='9'/> of 10 gallons per minute, the brine is flowing through the first pipe from the first tank to the second tank.At the same rate<br><img src='https://www.fatskills.com/images2/GradExams/C08BCEFB-EFD9-43C6-8217-2E3080A169F3.png' height='10' width='9'/>, the brine is flowing through the second pipe from the second tank to the first tank.The initial volume of brine in the first tank is 50 gallons, and the amount of salt is 15 pounds.The second tank initially contains 25 gallons of pure water.If<br><img src='https://www.fatskills.com/images2/GradExams/01BBC864-C30D-4920-A9CC-1B675C58A24D.png' height='20' width='40'/> represents the amount of salt in the first tank and<br><img src='https://www.fatskills.com/images2/GradExams/3D95CADD-3B19-4832-909E-9BD08D902A69.png' height='20' width='40'/> represents the amount of salt in the second tank as a function of time<br><img src='https://www.fatskills.com/images2/GradExams/60627DE7-0B80-44ED-9292-2AB85431555B.png' height='14' width='7'/>, which of the following statements is true regarding the system of ordinary differential equations which model this system?






 
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