A 500-L tank initially contains 10 g of salt dissolved in 200 liters of water. Starting at t = 0, pure water that contains 0.5 g of salt per L is poured into the tank at the rate of 4 L/min and the mixture is drained from the tank at the rate of 2 L/min. Find a differential equation for the quantity y (t) of salt in the tank at time t prior to the time when the tank overflows.
A 500-L tank initially contains 10 g of salt dissolved in 200 liters of water. Starting at t = 0, pure water that contains 0.5 g of salt per L is poured into the tank at the rate of 4 L/min and the mixture is drained from the tank at the rate of 2 L/min. Find a differential equation for the quantity y (t) of salt in the tank at time t prior to the time when the tank overflows.
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 500-L tank initially contains 10 g of salt dissolved in 200 liters of water. Starting at t = 0, pure water
that contains 0.5 g of salt per L is
poured into the tank at the rate of
4 L/min and the mixture is drained
from the tank at the rate of 2
L/min. Find a differential equation
for the quantity y (t) of salt in the
tank at time t prior to the time
when the tank overflows.
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