A tank contains 1760 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0) - (include units) (b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation. S' = f(t, S) = Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function. (c) Find the amount of sugar (in kg) after t minutes. S(t) = (function of t) Note: You can earn partial credit on this problem.
A tank contains 1760 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0) - (include units) (b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation. S' = f(t, S) = Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function. (c) Find the amount of sugar (in kg) after t minutes. S(t) = (function of t) Note: You can earn partial credit on 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 contains 1760 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate.
(a) How much sugar is in the tank at the beginning?
y(0) =
(include units)
(b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation.
S' = f(t, S) =
Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function.
(c) Find the amount of sugar (in kg) after t minutes.
S(t) =
(function of t)
Note: You can earn partial credit on this problem.
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