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A tank contains 100 kg of salt and kg 2000 L of water. Water containing 0.3 of salt enters the tank at the rate 8. The solution is mixed and drains from the tank at L min the rate 4. A(t) is the amount of salt in min the tank at time t measured in kilograms. (a) A(0) = 100 (kg) (b) A differential equation for the amount of salt in the tank is 0.15/6 t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is 8 (d) A(t) = = 0. (Use

A tank contains 100 kg of salt and kg 2000 L of water. Water containing 0.3 of salt enters the tank at the rate 8. The solution is mixed and drains from the tank at L min the rate 4. A(t) is the amount of salt in min the tank at time t measured in kilograms. (a) A(0) = 100 (kg) (b) A differential equation for the amount of salt in the tank is 0.15/6 t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is 8 (d) A(t) = = 0. (Use

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 100 kg of salt and kg 2000 L of water. Water containing 0.3% of salt enters the tank at the rate 8 L The min solution is mixed and drains from the tank at L the rate 4 A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 100 (kg) . (b) A differential equation for the amount of salt in the tank is 0.15/6 t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is 8 (d) A(t) = 4 (kg) = 0. (Use (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 = 0.15/6 kg L
Transcribed Image Text:A tank contains 100 kg of salt and kg 2000 L of water. Water containing 0.3% of salt enters the tank at the rate 8 L The min solution is mixed and drains from the tank at L the rate 4 A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 100 (kg) . (b) A differential equation for the amount of salt in the tank is 0.15/6 t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is 8 (d) A(t) = 4 (kg) = 0. (Use (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 = 0.15/6 kg L
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