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What is the solution to the following differential equation?

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C

A tank is filled with gallons of water with oz of salt dissolved in it. At t = 0, salt solution containing oz/gal enters the tank at a rate of gal/min. Well-mixed solution leaves at the same rate. Write down an expression that gives the amount of salt S, in the tank at any time t.

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Use Euler's method with the step size of to approximate solution to the initial-value problem at .

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A tank is filled with gallons of water in which oz of salt is dissolved. At t = 0, salt solution containing oz/gal enters the tank at a rate of gal/min. Well mixed solution leaves at the same rate. Write down an expression that gives the amount of salt S, in the tank at any time t.

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A tank initially contains gal of pure water. At time a solution containing oz of dissolved salt per gal flows into the tank at gal/min. The well stirred mixture is pumped out of the tank at the same rate. Write down an expression for the amount of salt in the tank at any time. How much salt is present at the end of minutes?

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