A) A 50 gallon tank initially contains 10 gallons of freshwater. At t = 0 t = 0 a brine solution containing 1 pound of saltper gallon is poured into the tank at the rate of 4 gal/min., whilethe well-stirred mixture leaves the tank at the rate of 1 gal/min.Find the amount of salt in the tank at the moment of overflow.
B) A tank contains 100100 g of salt and 400400 L of water. Waterthat contains 1414 grams of salt per liter enters the tank at therate 44 L/min. The solution is mixed and drains from the tank atthe rate 66 L/min.
Let yy be the number of g of salt in the tank after ttminutes.
The differential equation for this situation would be:
dydt=dydt=
Given the initial condition y(0)y(0) = 100 The particular solutionwould be
y(t)y(t)=
