Formulate the problem before any tank empties or overflows, but do not solve the equations. Notice we need one equation for each tank. Consider three tanks. Tank X starts with 200 gal of salt water with 55 b of salt, while Tank Y starts with 500 gal of salt water with 35 Ib of salt, and Tank Z is initially empty. Suppose that mixture flows out of Tank X into Tank Y at the rate of 8 gal/min and the mixture flows out of Tank Y into Tank Z at the rate of 22 gal/min. How much salt is there in each tank at any time? Only consider the process before any tank empties or overflows.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Formulate the problem before any tank empties or overflows, but do not solve the equations.
Notice we need one equation for each tank.
Consider three tanks. Tank X starts with 200 gal of salt water with 55 b of salt, while Tank Y
starts with 500 gal of salt water with 35 lb of salt, and Tank Z is initially empty. Suppose that
mixture flows out of Tank X into Tank Y at the rate of 8 gal/min and the mixture flows out of Tank
Y into Tank Z at the rate of 22 gal/min. How much salt is there in each tank at any time? Only
consider the process before any tank empties or overflows.
Transcribed Image Text:Formulate the problem before any tank empties or overflows, but do not solve the equations. Notice we need one equation for each tank. Consider three tanks. Tank X starts with 200 gal of salt water with 55 b of salt, while Tank Y starts with 500 gal of salt water with 35 lb of salt, and Tank Z is initially empty. Suppose that mixture flows out of Tank X into Tank Y at the rate of 8 gal/min and the mixture flows out of Tank Y into Tank Z at the rate of 22 gal/min. How much salt is there in each tank at any time? Only consider the process before any tank empties or overflows.
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