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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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