4. A tank has pure water flowing into it at the rate of 10 litres/min. The contents of the tank are thoroughly mixed, and the contents flow out at 10 litres/min. Salt is added to the tank at the rate of 0,1 kg/min. Initially, the tank contains 10 kg of salt in 100 litres of ds water. Let the net rate of change of salt be ,formulate a differential equation describing dt the process and determine what percentage of salt is left after 30 minutes.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. A tank has pure water flowing into it at the rate of 10 litres/min. The contents of the
tank are thoroughly mixed, and the contents flow out at 10 litres/min. Salt is added to
the tank at the rate of 0,1 kg/min. Initially, the tank contains 10 kg of salt in 100 litres of
water. Let the net rate of change of salt be , formulate a differential equation describing
dt
the process and determine what percentage of salt is left after 30 minutes.
Transcribed Image Text:4. A tank has pure water flowing into it at the rate of 10 litres/min. The contents of the tank are thoroughly mixed, and the contents flow out at 10 litres/min. Salt is added to the tank at the rate of 0,1 kg/min. Initially, the tank contains 10 kg of salt in 100 litres of water. Let the net rate of change of salt be , formulate a differential equation describing dt the process and determine what percentage of salt is left after 30 minutes.
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