0/1 points | Previous Answers ZillDiffEQ9 1.3.010.MI. My Notes Ask Your Teacher Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of $3 \mathrm{gal} / \mathrm{min}$, and when the solution is well stirred, it is then pumped out at a s/ower rate of $2 \mathrm{gal} / \mathrm{min}$. If the concentration of the solution entering is $2 \mathrm{lb} / \mathrm{gal}$, determine a differential equation (in lb/min) for the amount of salt $A(t)$ (in $\mathrm{lb}$ ) in the tank at time $t>0$. (Use $A$ for $A(t)$.) \[ \frac{d A}{d t}=4-\frac{2 A}{500+t} \] $\mathrm{lb} / \mathrm{min}$

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