For this problem A is the amount of salt in the tank. If a tank contains 250 liters of liquid with 13 grams of salt. A mixture containing 10 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 5 liters/minute. The amount of salt in the tank satisfies the differential equation 250 = 0. 5000-4987e Rewriting this as a linear differential equation we get x + X 250+ t The integrating factor is 250+ t and the solution is 13 = 20
For this problem A is the amount of salt in the tank. If a tank contains 250 liters of liquid with 13 grams of salt. A mixture containing 10 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 5 liters/minute. The amount of salt in the tank satisfies the differential equation 250 = 0. 5000-4987e Rewriting this as a linear differential equation we get x + X 250+ t The integrating factor is 250+ t and the solution is 13 = 20
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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![For this problem A is the amount of salt in the tank.
If a tank contains 250 liters of liquid with 13 grams of salt. A mixture containing 10 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 5 liters/minute. The amount of salt in the tank satisfies the
differential equation
250 = 0.
5000-4987e
Rewriting this as a linear differential equation we get
x +
X
250+ t
The integrating factor is 250+ t and the solution is 13
= 20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46f560d0-7644-45ad-80cf-bf2f4d1d2273%2Fe603482b-e3c2-4009-8393-06323179e61e%2Ftmtt86i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For this problem A is the amount of salt in the tank.
If a tank contains 250 liters of liquid with 13 grams of salt. A mixture containing 10 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 5 liters/minute. The amount of salt in the tank satisfies the
differential equation
250 = 0.
5000-4987e
Rewriting this as a linear differential equation we get
x +
X
250+ t
The integrating factor is 250+ t and the solution is 13
= 20
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