Molly works at a sea water filtration plant. She is working with two salt water storage cylinders as shown below. 2 If you know that x(0)-10kg y (0)-8kg 烹 Molly sets the storage cylinder pump settings as follows: The salt water is pumped from storage cylinder 1 to storage cylinder 2 at 101 per minute and it is pumped from storage cylinder 2 to storage cylinder 1 at 10 L per minute. Molly knows that storage cylinder 1 has 50 liters of salt water in it and that storage cylinder 2 has 25 liters of salt water in it. Assuming that the salt and water is mixed perfectly in each tank and that x is the amount of salt in kg in storage cylinder 1 after time (t) minutes has passed and y is the amount of salt in kg in storage cylinder 2 after time (t) minutes has passed; Help Molly determine the quantity of salt in each storage cylinder after t minutes. x(t)= y (t)=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PRACTICE PROBLEM 6.5
Molly works at a sea water filtration plant. She is working with two salt water
storage cylinders as shown below.
H
Molly sets the storage cylinder pump settings as follows:
The salt water is pumped from storage cylinder 1 to storage cylinder 2 at 10L
per minute and it is pumped from storage cylinder 2 to storage cylinder 1 at
10 L per minute.
Molly knows that storage cylinder 1 has 50 liters of salt water in it and that
storage cylinder 2 has 25 liters of salt water in it. Assuming that the salt and
water is mixed perfectly in each tank and that x is the amount of salt in kg in
storage cylinder 1 after time (t) minutes has passed and y is the amount of salt in
kg in sto age cylinder 2 after time (t) minutes has passed;
If you know that
x (0)=10kg
y (0)=8kg
Help Molly determine the quantity of salt in each storage cylinder after t
minutes.
x (t) =
y (t)=
Transcribed Image Text:PRACTICE PROBLEM 6.5 Molly works at a sea water filtration plant. She is working with two salt water storage cylinders as shown below. H Molly sets the storage cylinder pump settings as follows: The salt water is pumped from storage cylinder 1 to storage cylinder 2 at 10L per minute and it is pumped from storage cylinder 2 to storage cylinder 1 at 10 L per minute. Molly knows that storage cylinder 1 has 50 liters of salt water in it and that storage cylinder 2 has 25 liters of salt water in it. Assuming that the salt and water is mixed perfectly in each tank and that x is the amount of salt in kg in storage cylinder 1 after time (t) minutes has passed and y is the amount of salt in kg in sto age cylinder 2 after time (t) minutes has passed; If you know that x (0)=10kg y (0)=8kg Help Molly determine the quantity of salt in each storage cylinder after t minutes. x (t) = y (t)=
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