For this problem A is the amount of salt in the tank. If a tank contains 150 liters of liquid with 18 grams of salt. A mixture containing 6 grams per liter is pumped into the tank at a rate of 2 liters/minute. The mixture is well-mixed, and pumped out at a rate of 1 liters/minute. The amount of salt in the tank satisfies the differential equation ? =0. Rewriting this as a linear differential equation we get ? =12 The integrating factor is ? and the solution is ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For this problem A is the amount of salt in the tank.
If a tank contains 150 liters of liquid with 18 grams of salt. A mixture containing 6 grams per liter is pumped into the tank at a rate of 2 liters/minute. The mixture is well-mixed, and pumped out at a rate of 1 liters/minute. The amount of salt in the tank satisfies the differential equation

?

=0.
Rewriting this as a linear differential equation we get

?

=12
The integrating factor is

?

and the solution is

?
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