A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time >0. ONLY SET UP the initial value problem that Q(t) needs to satisfy. You don't need to solve this problem.
A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time >0. ONLY SET UP the initial value problem that Q(t) needs to satisfy. You don't need to solve this problem.
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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Transcribed Image Text:A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water
containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a
rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time t>0. ONLY SET UP the initial
value problem that Q(t) needs to satisfy. You don't need to solve this problem.
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