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A tank contains 70 kg of salt and 1000 L of water. Water containing 0.6 of salt enters the tank at the rate 20 min. The solution is mixed and drains from the tank at the rate 4. A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg

A tank contains 70 kg of salt and 1000 L of water. Water containing 0.6 of salt enters the tank at the rate 20 min. The solution is mixed and drains from the tank at the rate 4. A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A tank contains 70 kg of salt and 1000 L of water. Water containing 0.6 of salt enters the tank at the rate 20. The solution is mixed and drains from the tank at the rate 4 min A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg
Transcribed Image Text:A tank contains 70 kg of salt and 1000 L of water. Water containing 0.6 of salt enters the tank at the rate 20. The solution is mixed and drains from the tank at the rate 4 min A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg
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