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A 94 gallon tank is half full of water and 9 pounds of is pumping water with a concentration 6 pounds of sugar per gallon into this tank at a rate of 4 gallons per minute. A second pipe is removing well-mixed solution from the tank at a rate of 2 gallons per minute. What is the differential equation whose solution is a function S(t) which gives the amount of sugar dissolved in the tank at time t. sugar. А pipe dS 3. 2S 47-2t dS 3. 47+2t dS dt 24 2S 94+2t 2S dS dt 24 47+2t * = 24 2S 47-2t %3| dt || || ||

A 94 gallon tank is half full of water and 9 pounds of is pumping water with a concentration 6 pounds of sugar per gallon into this tank at a rate of 4 gallons per minute. A second pipe is removing well-mixed solution from the tank at a rate of 2 gallons per minute. What is the differential equation whose solution is a function S(t) which gives the amount of sugar dissolved in the tank at time t. sugar. А pipe dS 3. 2S 47-2t dS 3. 47+2t dS dt 24 2S 94+2t 2S dS dt 24 47+2t * = 24 2S 47-2t %3| dt || || ||

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 94 gallon tank is half full of water and 9 pounds of sugar. A pipe is pumping wvater with a concentration 6 pounds of sugar per gallon into this tank at a rate of 4 gallons per minute. A second pipe is removing well-mixed solution from the tank at a rate of 2 gallons per minute. What is the differential equation whose solution is a function S(t) which gives the amount of sugar dissolved in the tank at time t. dS dt 2S 47-2t d.S dt 3. 2 2.S 47+2t dS dt 24 - 2S 94+2t dS dt 24 2S 47+2t 2S dS dt 24 – %3D 47– 2t ||
Transcribed Image Text:A 94 gallon tank is half full of water and 9 pounds of sugar. A pipe is pumping wvater with a concentration 6 pounds of sugar per gallon into this tank at a rate of 4 gallons per minute. A second pipe is removing well-mixed solution from the tank at a rate of 2 gallons per minute. What is the differential equation whose solution is a function S(t) which gives the amount of sugar dissolved in the tank at time t. dS dt 2S 47-2t d.S dt 3. 2 2.S 47+2t dS dt 24 - 2S 94+2t dS dt 24 2S 47+2t 2S dS dt 24 – %3D 47– 2t ||
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