1. A large tank contains 50 gallons of water into which 5 pounds of salt has been dissolved. A solution containing 2 pounds of salt per gallon is pumped into the tank at the rate of 4 gal/min The well- stirred mixture is pumped out at the slower rate of 3 gal/min. Find the number of pounds of salt X(t) in the tank at time t.
1. A large tank contains 50 gallons of water into which 5 pounds of salt has been dissolved. A solution containing 2 pounds of salt per gallon is pumped into the tank at the rate of 4 gal/min The well- stirred mixture is pumped out at the slower rate of 3 gal/min. Find the number of pounds of salt X(t) in the tank at time t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![1. A large tank contains 50 gallons of water into which 5 pounds of
salt has been dissolved. A solution containing 2 pounds of salt per
gallon is pumped into the tank at the rate of 4 gal/min The well-
stirred mixture is pumped out at the slower rate of 3 gal/min. Find
the number of pounds of salt X(t) in the tank at time t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F336e1558-e9fe-47a3-a01e-f7d6f0c492f6%2F4e344bf9-bffc-4990-8c92-ee0be943701d%2F68jkxy6_processed.png&w=3840&q=75)
Transcribed Image Text:1. A large tank contains 50 gallons of water into which 5 pounds of
salt has been dissolved. A solution containing 2 pounds of salt per
gallon is pumped into the tank at the rate of 4 gal/min The well-
stirred mixture is pumped out at the slower rate of 3 gal/min. Find
the number of pounds of salt X(t) in the tank at time t.
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