A tank initially holds $10$ gallons of fresh water. At $t=0$, a brine solution containing $\frac 12$ pound of salt per gallon is poured into the tank at a rate of $2$ gal/min, while the well stirred mixture leaves the tank at the same rate.
$1)$ Find the amount and $2)$ the concentration of salt in the tank at any time, $t$
I have being able to differential equation by finding the values of rate in and rate out , my differential equation is DQ/DT + Q/5 = 1 . where Q is the amount of salt in the tank at time t