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A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with...

A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with a salt concentration of 50g/L flows into the tank at a rate of R(in)=80L/minutes (min). The fluid mixes instantaneously and is pumped out at a specified rate R(out)=40L/min. Let y(t) denote the quantity of salt in the tank at time t. Set up and solve the differential equation for y(t).

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