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A tank contains 1900 L of pure water. A solution that contains 0.01 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

A tank contains 1900 L of pure water. A solution that contains 0.01 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

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 tank contains 1900 L of pure water. A solution that contains 0.01 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) = (d) Find the amount of the sugar after 90 minutes. S(90) = (function of t) (include)
Transcribed Image Text:A tank contains 1900 L of pure water. A solution that contains 0.01 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) = (d) Find the amount of the sugar after 90 minutes. S(90) = (function of t) (include)
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